Effect of Legendrian Surgery

2009/10/30 by Bourgeois, Frédéric, Ekholm, Tobias, Eliashberg, Yakov · 4 citations
#53D12 #53D40 #53D42 #57R17 #FOS: Mathematics #Geometric Topology (math.GT) #Symplectic Geometry (math.SG)

paper · doi:10.48550/arxiv.0911.0026

Abstract

The paper is a summary of the results of the authors concerning computations of symplectic invariants of Weinstein manifolds and contains some examples and applications. Proofs are sketched. The detailed proofs will appear in our forthcoming paper. In the Appendix written by S. Ganatra and M. Maydanskiy it is shown that the results of this paper imply P. Seidel's conjecture equating symplectic homology with Hochschild homology of a certain Fukaya category.

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• A homological criterion for the almost-existence of Hamiltonian chords
• Submanifolds in contact geometry
• C⁰-rigidity of Legendrians and coisotropics via sheaf quantization
• Cable links of uniformly thick knot types

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