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.
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