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Non-loose Legendria...
Non-loose Legendrian spheres with trivial contact homology DGA
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- Ekholm, Tobias, 1970- (författare)
- Uppsala universitet,Algebra och geometri,Geometri
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(creator_code:org_t)
- 2016-06-08
- 2016
- Engelska.
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Ingår i: Journal of Topology. - : Wiley. - 1753-8416 .- 1753-8424. ; 9:3, s. 826-848
- Relaterad länk:
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https://urn.kb.se/re...
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visa fler...
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https://doi.org/10.1...
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Abstract
Ämnesord
Stäng
- Loose Legendrian n-submanifolds, n >= 2, were introduced by Murphy ('Loose Legendrian embeddings in high dimensional contact manifolds', Preprint, 2012, arXiv:1201.2245) and proved to be flexible in the h-principle sense: any two loose Legendrian submanifolds that are formally Legendrian isotopic are also actually Legendrian isotopic. Legendrian contact homology is a Floer theoretic invariant that associates a differential graded algebra (DGA) to a Legendrian submanifold. The DGA of a loose Legendrian submanifold is trivial. We show that the converse is not true by constructing non-loose Legendrian n-spheres in standard contact (2n + 1)-space, n >= 2, with trivial DGA.
Ämnesord
- NATURVETENSKAP -- Matematik -- Geometri (hsv//swe)
- NATURAL SCIENCES -- Mathematics -- Geometry (hsv//eng)
Nyckelord
- Mathematics
- Matematik
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