arXiv Analytics

Sign in

arXiv:1003.2962 [math.GT]AbstractReferencesReviewsResources

Fukaya categories and bordered Heegaard-Floer homology

Denis Auroux

Published 2010-03-15Version 1

We outline an interpretation of Heegaard-Floer homology of 3-manifolds (closed or with boundary) in terms of the symplectic topology of symmetric products of Riemann surfaces, as suggested by recent work of Tim Perutz and Yanki Lekili. In particular we discuss the connection between the Fukaya category of the symmetric product and the bordered algebra introduced by Robert Lipshitz, Peter Ozsvath and Dylan Thurston, and recast bordered Heegaard-Floer homology in this language.

Comments: 23 pages; to appear in proceedings of ICM 2010
Categories: math.GT, math.SG
Related articles: Most relevant | Search more
arXiv:1001.4323 [math.GT] (Published 2010-01-25, updated 2010-07-28)
Fukaya categories of symmetric products and bordered Heegaard-Floer homology
arXiv:2210.16452 [math.GT] (Published 2022-10-29)
Khovanov homology and the Fukaya category of the traceless character variety for the twice-punctured torus
arXiv:1309.0951 [math.GT] (Published 2013-09-04, updated 2014-01-06)
Torus bundles and 2-forms on the universal family of Riemann surfaces

Links

Toolbox