Fukaya categories of symmetric products and bordered Heegaard-Floer homology
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Auroux_Fukaya categories.pdf
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556.29 KB
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Author(s)
Auroux, Denis
Date Issued
July 2010
Journal
Journal of Gökova Geometry Topology
Publisher
Scientific and Technical Research Council of Turkey
Citation
Auroux, Denis. "Fukaya categories of symmetric products and bordered Heegaard-Floer homology." Journal of Gökova Geometry Topology Volume 4 (2010) p. 1–54.
Version
Author's final manuscript
Abstract
The main goal of this paper is to discuss a symplectic interpretation of Lipshitz, Ozsvath and Thurston's bordered Heegaard-Floer homology in terms of Fukaya categories of symmetric products and Lagrangian correspondences. More specifically, we give a description of the algebra A(F) which appears in the work of Lipshitz, Ozsvath and Thurston in terms of (partially wrapped) Floer homology for product Lagrangians in the symmetric product, and outline how bordered Heegaard-Floer homology itself can conjecturally be understood in this language.
Description
http://gokovagt.org/journal/2010/auroux.html
MIT Department
Massachusetts Institute of Technology. Department of Mathematics
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