Effect of Legendrian surgery

Bourgeois, Frédéric¹ ; Ekholm, Tobias² ; Eliashberg, Yakov³

¹ Département de Mathématiques, Université Libre de Bruxelles, CP 218, Boulevard du Triomphe, 1050 Bruxelles, Belgium
² Department of Mathematics, University of Uppsala, PO Box 480, SE-751 06 Uppsala, Sweden
³ Department of Mathematics, Stanford University, Stanford CA 94305, USA

Geometry & topology, Tome 16 (2012) no. 1, pp. 301-389.

Résumé

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 a 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 from [Proc. Sympos. Pure Math. 80, Amer. Math. Soc. (2009) 415–434].

Détail

DOI : 10.2140/gt.2012.16.301

Classification : 53D05, 53D42, 57R17
Keywords: Legendrian surgery, symplectic homology, Seidel conjecture, Weinstein manifold

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