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Numrering	Referens	Omslagsbild	Hitta
1.	Aleman, A., et al. (författare) On the decrease of kinetic energy with depth in wave–current interactions 2020 Ingår i: Mathematische Annalen. - : Springer Science and Business Media LLC. - 0025-5831 .- 1432-1807. ; 378:3-4, s. 853-872 Tidskriftsartikel (refereegranskat)abstract We study wave–current interactions in two-dimensional water flows with constant vorticity over a flat bed. We establish decay rates for the velocity beneath spatially periodic surface waves without any restrictions on the wave amplitude. The approach relies on complex function theory and overcomes the intricacies inherent to nonlinear flow patterns by taking advantage of specific structural properties of the governing equations for water waves.
2.	Andersson, Mats, 1957, et al. (författare) Explicit representation of membership of polynomial ideals 2011 Ingår i: Mathematische Annalen. - : Springer Science and Business Media LLC. - 0025-5831 .- 1432-1807. ; 349:2, s. 345-365 Tidskriftsartikel (refereegranskat)abstract We introduce a new division formula on projective space which provides explicit solutions to various polynomial division problems with sharp degree estimates. We consider simple examples as the classical Macaulay theorem as well as a quite recent result by Hickel, related to the effective Nullstellensatz. We also obtain a related result that generalizes Max Noether's classical AF + BG theorem.
3.	Andersson, Mats, 1957, et al. (författare) Global representation of Segre numbers by Monge–Ampère products 2021 Ingår i: Mathematische Annalen. - : Springer Science and Business Media LLC. - 0025-5831 .- 1432-1807. ; 380:1-2, s. 349-391 Tidskriftsartikel (refereegranskat)abstract On a reduced analytic space X we introduce the concept of a generalized cycle, which extends the notion of a formal sum of analytic subspaces to include also a form part. We then consider a suitable equivalence relation and corresponding quotient B(X) that we think of as an analogue of the Chow group and a refinement of de Rham cohomology. This group allows us to study both global and local intersection theoretic properties. We provide many B-analogues of classical intersection theoretic constructions: For an analytic subspace V⊂ X we define a B-Segre class, which is an element of B(X) with support in V. It satisfies a global King formula and, in particular, its multiplicities at each point coincide with the Segre numbers of V. When V is cut out by a section of a vector bundle we interpret this class as a Monge–Ampère-type product. For regular embeddings we construct a B-analogue of the Gysin morphism.
4.	Andersson, Mats, 1957, et al. (författare) The ∂¯ -equation on a non-reduced analytic space 2019 Ingår i: Mathematische Annalen. - : Springer Science and Business Media LLC. - 0025-5831 .- 1432-1807. ; 374:1-2, s. 553-599 Tidskriftsartikel (refereegranskat)abstract Let X be a, possibly non-reduced, analytic space of pure dimension. We introduce a notion of ∂¯ -equation on X and prove a Dolbeault–Grothendieck lemma. We obtain fine sheaves AXq of (0, q)-currents, so that the associated Dolbeault complex yields a resolution of the structure sheaf OX. Our construction is based on intrinsic semi-global Koppelman formulas on X.
5.	Andersson, Mats, et al. (författare) The (partial derivative)over-bar-equation on a non-reduced analytic space 2019 Ingår i: Mathematische Annalen. - : Springer Science and Business Media LLC. - 0025-5831 .- 1432-1807. ; 374:1-2, s. 553-599 Tidskriftsartikel (refereegranskat)abstract Let X be a, possibly non-reduced, analytic space of pure dimension. We introduce a notion of -equation on X and prove a Dolbeault-Grothendieck lemma. We obtain fine sheaves AXq of (0,q)-currents, so that the associated Dolbeault complex yields a resolution of the structure sheaf OX. Our construction is based on intrinsic semi-global Koppelman formulas on X.
6.	Andreasson, Håkan, 1966, et al. (författare) Gravitational collapse and the formation of black holes for the spherically symmetric Einstein-Vlasov system 2011 Ingår i: Math. Ann.. - 0025-5831 .- 1432-1807. ; 350, s. 683-705 Tidskriftsartikel (refereegranskat)
7.	Andreasson, Håkan, 1966, et al. (författare) The formation of black holes in spherically symmetric gravitational collapse 2011 Ingår i: MATHEMATISCHE ANNALEN. - : Springer Science and Business Media LLC. - 0025-5831 .- 1432-1807. ; 350:3, s. 683-705 Tidskriftsartikel (refereegranskat)abstract We consider the spherically symmetric, asymptotically flat Einstein-Vlasov system. We find explicit conditions on the initial data, with ADM mass M, such that the resulting spacetime has the following properties: there is a family of radially outgoing null geodesics where the area radius r along each geodesic is bounded by 2M, the timelike lines r=c [0,2M] are incomplete, and for r > 2M the metric converges asymptotically to the Schwarzschild metric with mass M. The initial data that we construct guarantee the formation of a black hole in the evolution. We give examples of such initial data with the additional property that the solutions exist for all r ≥ 0 and all Schwarzschild time, i. e., we obtain global existence in Schwarzschild coordinates in situations where the initial data are not small. Some of our results are also established for the Einstein equations coupled to a general matter model characterized by conditions on the matter quantities.
8.	Arone, Gregory, 1966-, et al. (författare) Suspension spectra of matrix algebras, the rank filtration, and rational noncommutative CW-spectra 2023 Ingår i: Mathematische Annalen. - : Springer Science and Business Media LLC. - 0025-5831 .- 1432-1807. ; 386:1-2, s. 35-84 Tidskriftsartikel (refereegranskat)abstract In a companion paper (Arone et al. in Noncommutative CW-spectra as enriched presheaves on matrix algebras, arXiv:2101.09775, 2021) we introduced the stable ∞-category of noncommutative CW-spectra, which we denoted NSp. Let M denote the full spectrally enriched subcategory of NSp whose objects are the non-commutative suspension spectra of matrix algebras. In Arone et al. (2021) we proved that NSp is equivalent to the ∞-category of spectral presheaves on M. In this paper we investigate the structure of M, and derive some consequences regarding the structure of NSp. To begin with, we introduce a rank filtration of M. We show that the mapping spectra of M map naturally to the connective K-theory spectrum ku, and that the rank filtration of M is a lift of the classical rank filtration of ku. We describe the subquotients of the rank filtration in terms of spaces of direct-sum decompositions which also arose in the study of K-theory and of Weiss’s orthogonal calculus. We prove that the rank filtration stabilizes rationally after the first stage. Using this we give an explicit model of the rationalization of NSp as presheaves of rational spectra on the category of finite-dimensional Hilbert spaces and unitary transformations up to scaling. Our results also have consequences for the p-localization and the chromatic localization of M.
9.	Avelin, Benny (författare) On time dependent domains for the degenerate p-parabolic equation : Carleson estimate and Holder continuity 2016 Ingår i: Mathematische Annalen. - : Springer Science and Business Media LLC. - 0025-5831 .- 1432-1807. ; 364:1-2, s. 667-686 Tidskriftsartikel (refereegranskat)abstract In this paper we propose a definition of "parabolic NTA" for solutions to the degenerate p-parabolic equation. Given this definition we prove the Carleson estimate, originally proved for this equation in Avelin et al. (J Eur Math Soc, 2015) for cylindrical domains. Moreover we study a non-optimal, stronger "outer corkscrew" condition, such that we obtain Holder continuity up to the boundary, for non-negative solutions vanishing on a part of the boundary.
10.	Balci, Anna Kh., et al. (författare) A pointwise differential inequality and second-order regularity for nonlinear elliptic systems 2022 Ingår i: Mathematische Annalen. - : Springer Berlin/Heidelberg. - 0025-5831 .- 1432-1807. ; 383:3-4, s. 1775-1824 Tidskriftsartikel (refereegranskat)abstract A sharp pointwise differential inequality for vectorial second-order partial differential operators, with Uhlenbeck structure, is offered. As a consequence, optimal second-order regularity properties of solutions to nonlinear elliptic systems in domains in R-n are derived. Both local and global estimates are established. Minimal assumptions on the boundary of the domain are required for the latter. In the special case of the p-Laplace system, our conclusions broaden the range of the admissible values of the exponent p previously known.
11.	Bandara, L., et al. (författare) Riesz continuity of the Atiyah-Singer Dirac operator under perturbations of the metric 2018 Ingår i: Mathematische Annalen. - : Springer Science and Business Media LLC. - 0025-5831 .- 1432-1807. ; 370:1-2, s. 863-915 Tidskriftsartikel (refereegranskat)abstract We prove that the Atiyah-Singer Dirac operator D-g in L-2 depends Riesz continuously L-infinity on perturbations of complete metrics on a smooth manifold. The Lipschitz bound for the map g -> D-g(1 + D-g(2))(-1/2) depends on bounds on Ricci curvature and its first derivatives as well as a lower bound on injectivity radius. Our proof uses harmonic analysis techniques related to Caldern's first commutator and the Kato square root problem. We also show perturbation results for more general functions of general Dirac-type operators on vector bundles.
12.	Benedetto, Robert L., et al. (författare) A case of the dynamical Mordell-Lang conjecture 2012 Ingår i: Mathematische Annalen. - : Springer. - 0025-5831 .- 1432-1807. ; 352:1, s. 1-26 Tidskriftsartikel (refereegranskat)abstract We prove a special case of a dynamical analogue of the classical Mordell- Lang conjecture. Specifically, let phi be a rational function with no periodic critical points other than those that are totally invariant, and consider the diagonal action of phi on (P(1))(g). If the coefficients of phi are algebraic, we show that the orbit of a point outside the union of the proper preperiodic subvarieties of (P(1))(g) has only finite intersection with any curve contained in (P(1))(g). We also show that our result holds for indecomposable polynomials phi with coefficients in C. Our proof uses results from p-adic dynamics together with an integrality argument. The extension to polynomials defined over C uses the method of specialization coupled with some new results of Medvedev and Scanlon for describing the periodic plane curves under the action of (phi, phi) on A(2).
13.	Benedetto, R. L., et al. (författare) Periods of rational maps modulo primes 2013 Ingår i: Mathematische Annalen. - : Springer Science and Business Media LLC. - 0025-5831 .- 1432-1807. ; 355:2, s. 637-660 Tidskriftsartikel (refereegranskat)abstract Let K be a number field, let be a rational map of degree at least 2, and let . We show that if alpha is not in the forward orbit of beta, then there is a positive proportion of primes of K such that is not in the forward orbit of . Moreover, we show that a similar result holds for several maps and several points. We also present heuristic and numerical evidence that a higher dimensional analog of this result is unlikely to be true if we replace alpha by a hypersurface, such as the ramification locus of a morphism .
14.	Berglund, Alexander, et al. (författare) Hirzebruch L-polynomials and multiple zeta values 2018 Ingår i: Mathematische Annalen. - : Springer Science and Business Media LLC. - 0025-5831 .- 1432-1807. ; 372:1-2, s. 125-137 Tidskriftsartikel (refereegranskat)abstract We express the coefficients of the Hirzebruch L-polynomials in terms of certain alternating multiple zeta values. In particular, we show that every monomial in the Pontryagin classes appears with a non-zero coefficient, with the expected sign. Similar results hold for the polynomials associated to the Â-genus.
15.	Bergström, Jonas, et al. (författare) The rational cohomology of (M)over-bar(4) 2007 Ingår i: Mathematische Annalen. - : Springer Science and Business Media LLC. - 0025-5831 .- 1432-1807. ; 338:1, s. 207-239 Tidskriftsartikel (refereegranskat)abstract We present two approaches to the study of the cohomology of moduli spaces of curves. Together, they allow us to compute the rational cohomology of the moduli space (M) over bar (4) of stable complex curves of genus 4, with its Hodge structure.
16.	Berkesch, Christine, et al. (författare) Shapes of free resolutions over a local ring 2012 Ingår i: Mathematische Annalen. - : Springer Science and Business Media LLC. - 0025-5831 .- 1432-1807. ; 354:3, s. 939-954 Tidskriftsartikel (refereegranskat)abstract We classify the possible shapes of minimal free resolutions over a regular local ring. This illustrates the existence of free resolutions whose Betti numbers behave in surprisingly pathological ways. We also give an asymptotic characterization of the possible shapes of minimal free resolutions over hypersurface rings. Our key new technique uses asymptotic arguments to study formal -Betti sequences.
17.	Berman, Robert, 1976 (författare) The probabilistic vs the quantization approach to Kahler-Einstein geometry 2023 Ingår i: Mathematische Annalen. - 0025-5831 .- 1432-1807. Tidskriftsartikel (refereegranskat)abstract In the probabilistic construction of Kahler-Einstein metrics on a complex projective algebraic manifold X-involving random point processes on X-a key role is played by the partition function. In this work a new quantitative bound on the partition function is obtained. It yields, in particular, a new direct analytic proof that X admits a Kahler-Einstein metrics if it is uniformly Gibbs stable. The proof makes contact with the quantization approach to Kahler-Einstein geometry.
18.	Björklund, Michael, 1981, et al. (författare) Central limit theorems for Diophantine approximants 2019 Ingår i: Mathematische Annalen. - : Springer Science and Business Media LLC. - 0025-5831 .- 1432-1807. ; 374:3-4, s. 1371-1437 Tidskriftsartikel (refereegranskat)abstract © 2019, The Author(s). In this paper we study certain counting functions which represent the numbers of solutions of systems of linear inequalities arising in the theory of Diophantine approximation. We develop a method that allows us to explain the random-like behavior that these functions exhibit and prove a central limit theorem for them. Our approach is based on a quantitative study of higher-order correlations for functions defined on the space of lattices and a novel technique for estimating cumulants of Siegel transforms.
19.	Björklund, Michael, 1981, et al. (författare) Hyperuniformity and non-hyperuniformity of quasicrystals 2023 Ingår i: Mathematische Annalen. - 0025-5831 .- 1432-1807. ; In Press Tidskriftsartikel (refereegranskat)abstract We develop a general framework to study hyperuniformity of various mathematical models of quasicrystals. Using this framework we provide examples of non-hyperuniform quasicrystals which unlike previous examples are not limit-quasiperiodic. Some of these examples are even anti-hyperuniform or have a positive asymptotic number variance. On the other hand we establish hyperuniformity for a large class of mathematical quasicrystals in Euclidean spaces of arbitrary dimension. For certain models of quasicrystals we moreover establish that hyperuniformity holds for a generic choice of the underlying parameters. For quasicrystals arising from the cut-and-project method we conclude that their hyperuniformity depends on subtle diophantine properties of the underlying lattice and window and is by no means automatic.
20.	Björklund, Michael, 1981, et al. (författare) Spectral theory of approximate lattices in nilpotent Lie groups 2021 Ingår i: Mathematische Annalen. - : Springer Science and Business Media LLC. - 0025-5831 .- 1432-1807. ; In Press Tidskriftsartikel (refereegranskat)abstract We consider approximate lattices in nilpotent Lie groups. With every such approximate lattice one can associate a hull dynamical system and, to every invariant measure of this system, a corresponding unitary representation. Our results concern both the spectral theory of the representation and the topological dynamics of the system. On the spectral side we construct explicit eigenfunctions for a large collection of central characters using weighted periodization against a twisted fiber density function. We construct this density function by establishing a parametric version of the Bombieri-Taylor conjecture and apply our results to locate high-intensity Bragg peaks in the central diffraction of an approximate lattice. On the topological side we show that under some mild regularity conditions the hull of an approximate lattice admits a sequence of continuous horizontal factors, where the final horizontal factor is abelian and each intermediate factor corresponds to a central extension. We apply this to extend theorems of Meyer and Dani-Navada concerning number-theoretic properties of Meyer sets to the nilpotent setting.
21.	Björn, Anders, et al. (författare) The Petrovskii criterion and barriers for degenerate and singular p-parabolic equations 2017 Ingår i: Mathematische Annalen. - : SPRINGER HEIDELBERG. - 0025-5831 .- 1432-1807. ; 368:3-4, s. 885-904 Tidskriftsartikel (refereegranskat)abstract In this paper we obtain sharp Petrovskii criteria for the p-parabolic equation, both in the degenerate case p amp;gt; 2 and the singular case 1 amp;lt; p amp;lt; 2 We also give an example of an irregular boundary point at which there is a barrier, thus showing that regularity cannot be characterized by the existence of just one barrier.
22.	Blomer, Valentin, et al. (författare) The Manin–Peyre formula for a certain biprojective threefold 2018 Ingår i: Mathematische Annalen. - : Springer Science and Business Media LLC. - 0025-5831 .- 1432-1807. ; 370:1-2, s. 491-553 Tidskriftsartikel (refereegranskat)abstract The conjectures of Manin and Peyre are confirmed for a certain threefold.
23.	Brandes, Julia, et al. (författare) On generating functions in additive number theory, II: lower-order terms and applications to PDEs 2021 Ingår i: Mathematische Annalen. - : Springer Science and Business Media LLC. - 0025-5831 .- 1432-1807. ; 379, s. 347-76 Tidskriftsartikel (refereegranskat)abstract We obtain asymptotics for sums of the form Sigma(p)(n=1) e(alpha(k) n(k) + alpha(1)n), involving lower order main terms. As an application, we show that for almost all alpha(2) is an element of [0, 1) one has sup(alpha 1 is an element of[0,1)) \| Sigma(1 <= n <= P) e(alpha(1)(n(3) + n) + alpha(2)n(3))\| << P3/4+epsilon, and that in a suitable sense this is best possible. This allows us to improve bounds for the fractal dimension of solutions to the Schrodinger and Airy equations.
24.	Burrin, Claire, et al. (författare) Translates of rational points along expanding closed horocycles on the modular surface 2022 Ingår i: Mathematische Annalen. - : Springer Berlin/Heidelberg. - 0025-5831 .- 1432-1807. ; 382:1-2, s. 655-717 Tidskriftsartikel (refereegranskat)abstract We study the limiting distribution of the rational points under a horizontal translation along a sequence of expanding closed horocycles on the modular surface. Using spectral methods we confirm equidistribution of these sample points for any translate when the sequence of horocycles expands within a certain polynomial range. We show that the equidistribution fails for generic translates and a slightly faster expanding rate. We also prove both equidistribution and non-equidistribution results by obtaining explicit limiting measures while allowing the sequence of horocycles to expand arbitrarily fast. Similar results are also obtained for translates of primitive rational points.
25.	Cegrell, Urban, et al. (författare) The equation of complex Monge-Amp`ere type and stability of solutions 2003 Ingår i: Mathematische Annalen. - : Springer Science and Business Media LLC. - 0025-5831 .- 1432-1807. ; 334:4, s. 713-729 Tidskriftsartikel (refereegranskat)abstract We prove that in a family of plurisubharmonic functions with Monge-Ampère measures bounded from above by such a measure of one function weak convergence is equivalent to convergence in capacity. We also show a very general statement on the existence of solutions of the complex Monge-Ampère type equation.
26.	Chacholski, Wojciech, et al. (författare) nu()-torsion spaces and thick classes 2006 Ingår i:* Mathematische Annalen. - : Springer Science and Business Media LLC. - 0025-5831 .- 1432-1807. ; 336:1, s. 13-26 Tidskriftsartikel (refereegranskat)
27.	Cote, Laurent, et al. (författare) Symplectic rigidity of fibers in cotangent bundles of open Riemann surfaces 2023 Ingår i: Mathematische Annalen. - : Springer. - 0025-5831 .- 1432-1807. ; 386, s. 1717-1751 Tidskriftsartikel (refereegranskat)abstract We study symplectic rigidity phenomena for fibers in cotangent bundles of Riemann surfaces. Our main result can be seen as a generalization to open Riemann surfaces of arbitrary genus of work of Eliashberg and Polterovich on the Nearby Lagrangian Conjecture for TR-2. As a corollary, we answer a strong version in dimension 2n = 4 of a question of Eliashberg about linking of Lagrangian disks in TR-n, which was previously answered by Ekholm and Smith in dimensions 2n >= 8.
28.	Dahl, Mattias, et al. (författare) Local and global scalar curvature rigidity of Einstein manifolds 2022 Ingår i: Mathematische Annalen. - : Springer Nature. - 0025-5831 .- 1432-1807. Tidskriftsartikel (refereegranskat)abstract An Einstein manifold is called scalar curvature rigid if there are no compactly supported volume-preserving deformations of the metric which increase the scalar curvature. We give various characterizations of scalar curvature rigidity for open Einstein manifolds as well as for closed Einstein manifolds. As an application, we construct mass-decreasing deformations of the Riemannian Schwarzschild metric and the Taub–Bolt metric.
29.	Deeley, R.J., et al. (författare) Realizing the analytic surgery group of Higson and Roe geometrically part II: relative η -invariants 2016 Ingår i: Mathematische Annalen. - : Springer Science and Business Media LLC. - 0025-5831 .- 1432-1807. ; 366:3-4, s. 1319-1363 Tidskriftsartikel (refereegranskat)abstract We apply the geometric analog of the analytic surgery group of Higson and Roe to the relative η-invariant. In particular, by solving a Baum–Douglas type index problem, we give a “geometric” proof of a result of Keswani regarding the homotopy invariance of relative η-invariants. The starting point for this work is our previous constructions in “Realizing the analytic surgery group of Higson and Roe geometrically, Part I: The geometric model”.
30.	Deeley, R.J., et al. (författare) Realizing the analytic surgery group of Higson and Roe geometrically part III: higher invariants 2016 Ingår i: Mathematische Annalen. - : Springer Science and Business Media LLC. - 0025-5831 .- 1432-1807. ; 366:3-4, s. 1513-1559 Tidskriftsartikel (refereegranskat)abstract We construct an isomorphism between the geometric model and Higson-Roe’s analytic surgery group, reconciling the constructions in the previous papers in the series on “Realizing the analytic surgery group of Higson and Roe geometrically” with their analytic counterparts. Following work of Lott and Wahl, we construct a Chern character on the geometric model for the surgery group; it is a “delocalized Chern character”, from which Lott’s higher delocalized ρ-invariants can be retrieved. Following work of Piazza and Schick, we construct a geometric map from Stolz’ positive scalar curvature sequence to the geometric model of Higson-Roe’s analytic surgery exact sequence.
31.	Di Plinio, Francesco, et al. (författare) Multilinear singular integrals on non-commutative Lp spaces 2020 Ingår i: Mathematische Annalen. - : Springer Science and Business Media LLC. - 0025-5831 .- 1432-1807. Tidskriftsartikel (refereegranskat)abstract We prove Lp bounds for the extensions of standard multilinear Calderón–Zygmund operators to tuples of UMD spaces tied by a natural product structure. The product can, for instance, mean the pointwise product in UMD function lattices, or the composition of operators in the Schatten-von Neumann subclass of the algebra of bounded operators on a Hilbert space. We do not require additional assumptions beyond UMD on each space—in contrast to previous results, we e.g. show that the Rademacher maximal function property is not necessary. The obtained generality allows for novel applications. For instance, we prove new versions of fractional Leibniz rules via our results concerning the boundedness of multilinear singular integrals in non-commutative Lp spaces. Our proof techniques combine a novel scheme of induction on the multilinearity index with dyadic-probabilistic techniques in the UMD space setting.
32.	Dieterich, Ernst, 1951- (författare) Group rings of wild representation type 1983 Ingår i: Mathematische Annalen. - 0025-5831 .- 1432-1807. ; 266:1, s. 1-22 Tidskriftsartikel (refereegranskat)
33.	Edquist, Anders, et al. (författare) A parabolic almost monotonicity formula 2008 Ingår i: Mathematische Annalen. - : Springer Science and Business Media LLC. - 0025-5831 .- 1432-1807. ; 341:2, s. 429-454 Tidskriftsartikel (refereegranskat)abstract We prove the parabolic counterpart of the almost monotonicity formula of Caffarelli, Jerison and Kening for pairs of functions u +/-( x, s) in the strip S-1 = R-n x (-1, 0] satisfying u +/- >= 0, (Delta - partial derivative(S))u +/- >= -1, u(+) center dot u(-) = 0 in S-1. We also establish a localized version of the formula as well as prove one of its variants. At the end of the paper we give an application to a free boundary problem related to the caloric continuation of heat potentials.
34.	Ekholm, Tobias, et al. (författare) Exact Lagrangian immersions with one double point revisited 2014 Ingår i: Mathematische Annalen. - : Springer Science and Business Media LLC. - 0025-5831 .- 1432-1807. ; 358:1-2, s. 195-240 Tidskriftsartikel (refereegranskat)abstract We study exact Lagrangian immersions with one double point of a closed orientable manifold into . We prove that if the Maslov grading of the double point does not equal then is homotopy equivalent to the sphere, and if, in addition, the Lagrangian Gauss map of the immersion is stably homotopic to that of the Whitney immersion, then bounds a parallelizable -manifold. The hypothesis on the Gauss map always holds when or when . The argument studies a filling of obtained from solutions to perturbed Cauchy-Riemann equations with boundary on the image of the immersion. This leads to a new and simplified proof of some of the main results of Ekholm and Smith (Exact Lagrangian immersions with a single double point 2011)). which treated Lagrangian immersions in the case by applying similar techniques to a Lagrange surgery of the immersion, as well as to an extension of these results to the odd-dimensional case.
35.	Ekholm, Tobias, 1970-, et al. (författare) Filtrations on the knot contact homology of transverse knots 2013 Ingår i: Mathematische Annalen. - : Springer. - 0025-5831 .- 1432-1807. ; 355:4, s. 1561-1591 Tidskriftsartikel (refereegranskat)abstract We construct a new invariant of transverse links in the standard contactstructure on R^3. This invariant is a doubly ﬁltered version of the knot contact homology differential graded algebra (DGA) of the link, see (Ekholm et al., Knot contacthomology, Arxiv:1109.1542, 2011; Ng, Duke Math J 141(2):365–406, 2008). Herethe knot contact homology of a link in R3is the Legendrian contact homology DGAof its conormal lift into the unit cotangent bundle SR^3of R^3, and the ﬁltrations are constructed by counting intersections of the holomorphic disks of the DGA differential with two conormal lifts of the contact structure. We also present a combinatorial formula for the ﬁltered DGA in terms of braid representatives of transverse links andapply it to show that the new invariant is independent of previously known invariantsof transverse links.
36.	Forstneric, Franc, et al. (författare) An interpolation theorem for proper holomorphic embeddings 2007 Ingår i: Mathematische Annalen. - : Springer Science and Business Media LLC. - 0025-5831 .- 1432-1807. ; 338:3, s. 545-554 Tidskriftsartikel (refereegranskat)
37.	Frentz, Marie, et al. (författare) Optimal regularity in the obstacle problem for Kolmogorov operators related to American Asian options 2010 Ingår i: Mathematische Annalen. - : Springer. - 0025-5831 .- 1432-1807. ; 347:4, s. 805-838 Tidskriftsartikel (refereegranskat)abstract In this paper we prove optimal interior regularity for solutions to the obstacle problem for a class of second order differential operators of Kolmogorov type. We treat smooth obstacles as well as non-smooth obstacles. All our proofs follow the same line of thought and are based on blow-ups, compactness, barriers and arguments by contradiction. The problem considered arises in financial mathematics, when considering path-dependent derivative contracts with early exercise feature.
38.	Gardella, Eusebio, 1988, et al. (författare) Tracially amenable actions and purely infinite crossed products 2024 Ingår i: Mathematische Annalen. - 0025-5831 .- 1432-1807. ; In Press Tidskriftsartikel (refereegranskat)abstract We introduce the notion of tracial amenability for actions of discrete groups on unital, tracial C∗-algebras, as a weakening of amenability where all the relevant approximations are done in the uniform trace norm. We characterize tracial amenability with various equivalent conditions, including topological amenability of the induced action on the trace space. Our main result concerns the structure of crossed products: for groups containing the free group F2, we show that outer, tracially amenable actions on simple, unital, Z-stable C∗-algebras always have purely infinite crossed products. Finally, we give concrete examples of tracially amenable actions of free groups on simple, unital AF-algebras.
39.	Gardella, Eusebio, et al. (författare) Tracially amenable actions and purely infinite crossed products 2024 Ingår i: MATHEMATISCHE ANNALEN. - 0025-5831 .- 1432-1807. Tidskriftsartikel (refereegranskat)abstract We introduce the notion of tracial amenability for actions of discrete groups on unital, tracial C * \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$<^>$$\end{document} -algebras, as a weakening of amenability where all the relevant approximations are done in the uniform trace norm. We characterize tracial amenability with various equivalent conditions, including topological amenability of the induced action on the trace space. Our main result concerns the structure of crossed products: for groups containing the free group F 2 \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$F_2$$\end{document} , we show that outer, tracially amenable actions on simple, unital, Z \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\mathcal {Z}$$\end{document} -stable C \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$<^>*$$\end{document} -algebras always have purely infinite crossed products. Finally, we give concrete examples of tracially amenable actions of free groups on simple, unital AF-algebras.
40.	Goldring, Wushi (författare) The Griffiths bundle is generated by groups 2019 Ingår i: Mathematische Annalen. - : Springer Science and Business Media LLC. - 0025-5831 .- 1432-1807. ; 375:3-4, s. 1283-1305 Tidskriftsartikel (refereegranskat)abstract First the Griffiths line bundle of a Q-VHS V is generalized to a Griffiths character grif(G, mu, r) associated to any triple (G, mu, r), where G is a connected reductive group over an arbitrary field F, mu is an element of X-*(G) is a cocharacter (over (F) over bar) and r : G -> GL(V) is an F-representation; the classical bundle studied by Griffiths is recovered by taking F = Q, G the Mumford-Tate group of V, r : G -> GL(V) the tautological representation afforded by a very general fiber and pulling back along the period map the line bundle associated to grif(G, mu, r). The more general setting also gives rise to the Griffiths bundle in the analogous situation in characteristic p given by a scheme mapping to a stack of G-Zips. When G is F-simple, we show that, up to positive multiples, the Griffiths character grif(G, mu, r) (and thus also the Griffiths line bundle) is essentially independent of r with central kernel, and up to some identifications is given explicitly by -mu. As an application, we show that the Griffiths line bundle of a projective G-Zip(mu)-scheme is nef.
41.	Hedenmalm, Håkan, 1961-, et al. (författare) A critical topology for L^p Carleman classes with 0 2018 Ingår i: Mathematische Annalen. - : Springer Science and Business Media LLC. - 0025-5831 .- 1432-1807. ; 371:3-4, s. 1803-1844 Tidskriftsartikel (refereegranskat)abstract In this paper, we explore a sharp phase transition phenomenon which occurs for (Formula presented.)-Carleman classes with exponents (Formula presented.). These classes are defined as for the standard Carleman classes, only the (Formula presented.)-bounds are replaced by corresponding (Formula presented.)-bounds. We study the quasinorms (Formula presented.)for some weight sequence (Formula presented.) of positive real numbers, and consider as the corresponding (Formula presented.)-Carleman space the completion of a given collection of smooth test functions. To mirror the classical definition, we add the feature of dilatation invariance as well, and consider a larger soft-topology space, the (Formula presented.)-Carleman class. A particular degenerate instance is when (Formula presented.) for (Formula presented.) and (Formula presented.) for (Formula presented.). This would give the (Formula presented.)-Sobolev spaces, which were analyzed by Peetre, following an initial insight by Douady. Peetre found that these (Formula presented.)-Sobolev spaces are highly degenerate for (Formula presented.). Indeed, the canonical map (Formula presented.) fails to be injective, and there is even an isomorphism (Formula presented.)corresponding to the canonical map (Formula presented.) acting on the test functions. This means that e.g. the function and its derivative lose contact with each other (they “disconnect”). Here, we analyze this degeneracy for the more general (Formula presented.)-Carleman classes defined by a weight sequence (Formula presented.). If (Formula presented.) has some regularity properties, and if the given collection of test functions is what we call (Formula presented.)-tame, then we find that there is a sharp boundary, defined in terms of the weight (Formula presented.): on the one side, we get Douady–Peetre’s phenomenon of “disconnexion”, while on the other, the completion of the test functions consists of (Formula presented.)-smooth functions and the canonical map (Formula presented.) is correspondingly well-behaved in the completion. We also look at the more standard second phase transition, between non-quasianalyticity and quasianalyticity, in the (Formula presented.) setting, with (Formula presented.).
42.	Hynd, Ryan, et al. (författare) Extremal functions for Morrey's inequality in convex domains 2019 Ingår i: Mathematische Annalen. - : Springer Science and Business Media LLC. - 0025-5831 .- 1432-1807. ; 375:3-4, s. 1721-1743 Tidskriftsartikel (refereegranskat)abstract For a bounded domain Omega subset of R-n and p > n, Morrey's inequality implies that there is c > 0 such that c parallel to u parallel to(p)(infinity) <= integral(Omega) vertical bar Du vertical bar(p) dx for each u belonging to the Sobolev space W-0(1,p) (Omega). We show that the ratio of any two extremal functions is constant provided that Omega is convex. We also show with concrete examples why this property fails to hold in general and verify that convexity is not a necessary condition for a domain to have this feature. As a by product, we obtain the uniqueness of an optimization problem involving the Green's function for the p-Laplacian.
43.	Izzo, Alexander, et al. (författare) Presence or absence of analytic structure in maximal ideal spaces 2016 Ingår i: Mathematische Annalen. - : Springer Science and Business Media LLC. - 0025-5831 .- 1432-1807. ; 366:1-2, s. 459-478 Tidskriftsartikel (refereegranskat)abstract We study extensions of Wermer's maximality theorem to several complex variables. We exhibit various smoothly embedded manifolds in complex Euclidean space whose hulls are non-trivial but contain no analytic disks. We answer a question posed by Lee Stout concerning the existence of analytic structure for a uniform algebra whose maximal ideal space is a manifold.
44.	Johansson, Christian, et al. (författare) A quotient of the Lubin-Tate tower II 2021 Ingår i: Mathematische Annalen. - : Springer Science and Business Media LLC. - 0025-5831 .- 1432-1807. ; 380:1-2, s. 43-89 Tidskriftsartikel (refereegranskat)abstract In this article we construct the quotient M-1/P(K) of the infinite-level Lubin-Tate space M-1 by the parabolic subgroup P(K) subset of GL(n)(K) of block form (n - 1, 1) as a perfectoid space, generalizing the results of Ludwig (Forum Math Sigma 5:e17, 41, 2017) to arbitrary n and K/Q(p) finite. For this we prove some perfectoidness results for certain Harris-Taylor Shimura varieties at infinite level. As an application of the quotient construction we show a vanishing theorem for Scholze's candidate for the mod p Jacquet-Langlands and mod p local Langlands correspondence. An appendix by David Hansen gives a local proof of perfectoidness of M-1/P(K) when n = 2, and shows that M-1/Q(K) is not perfectoid for maximal parabolics Q not conjugate to P.
45.	Khesin, B., et al. (författare) Generalized Hunter-Saxton equation and the geometry of the group of circle diffeomorphisms 2008 Ingår i: Mathematische Annalen. - : Springer Science and Business Media LLC. - 0025-5831 .- 1432-1807. ; 342:3, s. 617-656 Tidskriftsartikel (refereegranskat)abstract We study an equation lying 'mid-way' between the periodic Hunter-Saxton and Camassa-Holm equations, and which describes evolution of rotators in liquid crystals with external magnetic field and self-interaction. We prove that it is an Euler equation on the diffeomorphism group of the circle corresponding to a natural right-invariant Sobolev metric. We show that the equation is bihamiltonian and admits both cusped and smooth traveling-wave solutions which are natural candidates for solitons. We also prove that it is locally well-posed and establish results on the lifespan of its solutions. Throughout the paper we argue that despite similarities to the KdV, CH and HS equations, the new equation manifests several distinctive features that set it apart from the other three.
46.	Klurman, Oleksiy, et al. (författare) Rigidity theorems for multiplicative functions 2018 Ingår i: Mathematische Annalen. - : Springer New York LLC. - 0025-5831 .- 1432-1807. ; 372:1-2, s. 651-697 Tidskriftsartikel (refereegranskat)abstract We establish several results concerning the expected general phenomenon that, given a multiplicative function f: N→ C, the values of f(n) and f(n+ a) are “generally” independent unless f is of a “special” form. First, we classify all bounded completely multiplicative functions having uniformly large gaps between its consecutive values. This implies the solution of the following folklore conjecture: for any completely multiplicative function f: N→ T we have lim infn→∞\|f(n+1)-f(n)\|=0.Second, we settle an old conjecture due to Chudakov (On the generalized characters. In: Actes du Congrès International des Mathématiciens (Nice, 1970), Tome 1, p. 487. Gauthier-Villars, Paris) that states that any completely multiplicative function f: N→ C that: (a) takes only finitely many values, (b) vanishes at only finitely many primes, and (c) has bounded discrepancy, is a Dirichlet character. This generalizes previous work of Tao on the Erdős Discrepancy Problem. Finally, we show that if many of the binary correlations of a 1-bounded multiplicative function are asymptotically equal to those of a Dirichlet character χ mod q then f(n) = χ′(n) nit for all n, where χ′ is a Dirichlet character modulo q and t∈ R. This establishes a variant of a conjecture of H. Cohn for multiplicative arithmetic functions. The main ingredients include the work of Tao on logarithmic Elliott conjecture, correlation formulas for pretentious multiplicative functions developed earlier by the first author and Szemeredi’s theorem for long arithmetic progressions.
47.	Kozlov, Vladimir (författare) Domain dependence of eigenvalues of elliptic type operators 2013 Ingår i: Mathematische Annalen. - : Springer Verlag (Germany). - 0025-5831 .- 1432-1807. ; 357:4, s. 1509-1539 Tidskriftsartikel (refereegranskat)abstract The dependence on the domain for the Dirichlet eigenvalues of elliptic operators considered in bounded domains is studied. The proximity of domains is measured by a norm of the difference of two orthogonal projectors corresponding to the reference domain and the perturbed one; this allows to compare eigenvalues corresponding to domains that have non-smooth boundaries and different topology. The main result is an asymptotic formula in which the remainder is evaluated in terms of this quantity. Applications of this result are given. The results are new for the Laplace operator.
48.	Kozlov, Vladimir, et al. (författare) Fundamental bounds for steady water waves 2009 Ingår i: MATHEMATISCHE ANNALEN. - : Springer Science and Business Media LLC. - 0025-5831 .- 1432-1807. ; 345:3, s. 643-655 Tidskriftsartikel (refereegranskat)abstract The two-dimensional free-boundary problem of steady gravity waves on water of finite depth is considered. Bounds on the free-surface profiles and on the values of Bernoullis constant are obtained under minimal assumptions about properties of solutions to the problem.
49.	Kragh, Thomas, 1980- (författare) Homotopy equivalence of nearby Lagrangians and the Serre spectral sequence 2017 Ingår i: Mathematische Annalen. - : Springer Science and Business Media LLC. - 0025-5831 .- 1432-1807. ; 368:3-4, s. 945-970 Tidskriftsartikel (refereegranskat)abstract We construct using relatively basic techniques a spectral sequence for exact Lagrangians in cotangent bundles similar to the one constructed by Fukaya, Seidel, and Smith. That spectral sequence was used to prove that exact relative spin Lagrangians in simply connected cotangent bundles with vanishing Maslov class are homology equivalent to the base (a similar result was also obtained by Nadler). The ideas in that paper were extended by Abouzaid who proved that vanishing Maslov class alone implies homotopy equivalence. In this paper we present a short proof of the fact that any exact Lagrangian with vanishing Maslov class is homology equivalent to the base and that the induced map on fundamental groups is an isomorphism. When the fundamental group of the base is pro-finite this implies homotopy equivalence.
50.	Kurlberg, Pär, et al. (författare) On probability measures arising from lattice points on circles 2016 Ingår i: Mathematische Annalen. - : Springer Science and Business Media LLC. - 0025-5831 .- 1432-1807. ; , s. 1-42 Tidskriftsartikel (refereegranskat)abstract A circle, centered at the origin and with radius chosen so that it has non-empty intersection with the integer lattice (Formula presented.), gives rise to a probability measure on the unit circle in a natural way. Such measures, and their weak limits, are said to be attainable from lattice points on circles. We investigate the set of attainable measures and show that it contains all extreme points, in the sense of convex geometry, of the set of all probability measures that are invariant under some natural symmetries. Further, the set of attainable measures is closed under convolution, yet there exist symmetric probability measures that are not attainable. To show this, we study the geometry of projections onto a finite number of Fourier coefficients and find that the set of attainable measures has many singularities with a “fractal” structure. This complicated structure in some sense arises from prime powers—singularities do not occur for circles of radius (Formula presented.) if n is square free.

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