Symplectic homology product via Legendrian surgery

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 a...

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Veröffentlicht in:	Proceedings of the National Academy of Sciences - PNAS 2011-05, Vol.108 (20), p.8114-8121
Hauptverfasser:	Bourgeois, FrÃ©dÃ©ric, Ekholm, Tobias, Eliashberg, Yakov
Format:	Artikel
Sprache:	eng
Schlagworte:	Algebra Cotangent function data analysis Field theory Geometric shapes Hochschild homology Homomorphisms Lagrange multiplier Lagrangian function Lagrangian manifold LOW DIMENSIONAL GEOMETRY AND TOPOLOGY SPECIAL FEATURE MATEMATIK Mathematical manifolds mathematical models MATHEMATICS Physical Sciences research methods shape symplectic field theory Symplectic Geometry Tensors Topological manifolds Vector fields Vector space
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Beschreibung
Zusammenfassung:	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.
ISSN:	0027-8424 1091-6490 1091-6490
DOI:	10.1073/pnas.1019102108