English

Symplectic homology product via Legendrian surgery

Symplectic Geometry 2016-07-13 v4

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\BV-operator of symplectic homology in that context.

Keywords

Cite

@article{arxiv.1012.4218,
  title  = {Symplectic homology product via Legendrian surgery},
  author = {Frederic Bourgeois and Tobias Ekholm and Yakov Eliashberg},
  journal= {arXiv preprint arXiv:1012.4218},
  year   = {2016}
}

Comments

30 pages, 4 figures. v2: a number of typos were corrected. v3: corrected sign error in Equation (2.4)