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Symplectic homology...
Abstract
Ämnesord
Stäng
- If (X,omega) is a closed symplectic manifold, and sigma is a smooth symplectic submanifold Poincare dual to a positive multiple of omega, then X set minus sigma can be completed to a Liouville manifold (W,d lambda). Under monotonicity assumptions on X and on sigma, we construct a chain complex whose homology computes the symplectic homology of W. We show that the differential is given in terms of Morse contributions, Gromov-Witten invariants of X relative to sigma and Gromov-Witten invariants of sigma. We use a Morse-Bott model for symplectic homology. Our proof involves comparing Floer cylinders with punctures to pseudoholomorphic curves in the symplectization of the unit normal bundle to sigma.
Ämnesord
- NATURVETENSKAP -- Matematik -- Geometri (hsv//swe)
- NATURAL SCIENCES -- Mathematics -- Geometry (hsv//eng)
Nyckelord
- 53D40 (primary)
- 53D45 (secondary)
Publikations- och innehållstyp
- ref (ämneskategori)
- art (ämneskategori)
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