Effect of Legendrian Surgery

Frédéric Bourgeois (1) , Tobias Ekholm (2) , Yakov Eliashberg (3)

1 ULB - Département de Mathématique [Bruxelles]
2 Department of Mathematics [Uppsala]
3 Department of Mathematics [Stanford]

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.

Mots clés: Legendrian surgery; symplectic homology; Seidel conjecture; Weinstein manifold

Domaines: Géométrie symplectique [math.SG]; Topologie géométrique [math.GT]

Frédéric Bourgeois, Tobias Ekholm, Yakov Eliashberg. Effect of Legendrian Surgery. Geometry and Topology, 2012, 16, pp.301-389. ⟨10.2140/gt.2012.16.301⟩. ⟨hal-01010999⟩