Symplectic homology product via Legendrian surgery.
basic_science · Level V
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- Record sourced from PubMed, PMID 21518898.
- Also identified by DOI 10.1073/pnas.1019102108 and PMC identifier 3100974.
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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.