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Effect of Legendrian Surgery

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arxiv 0911.0026 v4 pith:TTYPMJKJ submitted 2009-10-30 math.SG math.GT

Frédéric Bourgeois , Tobias Ekholm , Yakov Eliashberg This is my paper · ORCID
classification math.SGmath.GT
keywords homologyproofsresultssymplecticappearappendixapplicationsauthors
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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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  1. Legendrian DGA Representations and the Colored Kauffman Polynomial

    math.SG 2019-08 accept novelty 7.0 of 10

    For every Legendrian knot, ungraded n-dimensional representation numbers of its contact homology DGA equal the n-colored Kauffman polynomial specialized at a^{-1}=0.

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