title: Symplectic homology product via Legendrian surgery.
abstract: This research announcement continues the study of the symplectic homology of Weinstein manifolds undertaken by the authors [Bourgeois F, Ekholm T, Eliashberg Y (2009) arXiv:0911.0026] where the symplectic homology, as a vector space, was expressed in terms of the Legendrian homology algebra of the attaching spheres of critical handles. Here, we express the product and Batalin-Vilkovisky operator of symplectic homology in that context.
authors.affiliation: Department of Mathematics, Université Libre de Bruxelles, B-1050 Brussels, Belgium.
authors.forename: Frédéric
authors.initials: F
authors.lastname: Bourgeois
authors.forename: Tobias
authors.initials: T
authors.lastname: Ekholm
authors.forename: Yakov
authors.initials: Y
authors.lastname: Eliashberg