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arXiv · 1012.4218

Symplectic homology product via Legendrian surgery

Frederic Bourgeois·Tobias Ekholm·Yakov Eliashberg
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Abstract

This research announcement continues the study of the symplectic homology of Weinstein manifolds undertaken in [BEE1] 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 $\BV$-operator of symplectic homology in that context.

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Frederic Bourgeois, Tobias Ekholm, Yakov Eliashberg. 2010-12-19. Symplectic homology product via Legendrian surgery. https://doi.org/10.1073/pnas.1019102108

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