Math Papers

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Symplectic homology product via Legendrian surgery
joint work with Tobias Ekholm and Yasha Eliashberg,
Proceedings of the National Academy of Sciences 108 (2011) no 20, 8114-8121.

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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.

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This paper appeared in Proceedings of the National Academy of Sciences.

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