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Symplectic homology product via Legendrian surgery
Uppsala University, Disciplinary Domain of Science and Technology, Mathematics and Computer Science, Department of Mathematics, Algebra, Geometry and Logic.
2011 (English)In: Proceedings of the National Academy of Sciences of the United States of America, ISSN 0027-8424, E-ISSN 1091-6490, Vol. 108, no 20, 8114-8121 p.Article in journal (Refereed) Published
Abstract [en]

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.

Place, publisher, year, edition, pages
2011. Vol. 108, no 20, 8114-8121 p.
Keyword [en]
symplectic field theory, Lagrangian manifold, Hochschild homology
National Category
Mathematics
Research subject
Mathematics
Identifiers
URN: urn:nbn:se:uu:diva-154277DOI: 10.1073/pnas.1019102108ISI: 000290719600015OAI: oai:DiVA.org:uu-154277DiVA: diva2:420005
Available from: 2011-05-30 Created: 2011-05-30 Last updated: 2017-12-11Bibliographically approved

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Ekholm, Tobias

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