Heegaard Floer homology as morphism spaces

By Robert Lipshitz, Peter S. Ozsv'ath, Dylan Thurston. 2010

62 citations recorded by the source corpus.

In this paper we prove another pairing theorem for bordered Floer homology. Unlike the original pairing theorem, this one is stated in terms of homomorphisms, not tensor products. The present formulation is closer in spirit to the usual TQFT framework, and allows a more direct comparison with Fukaya-categorical constructions. The result also leads to various dualities in bordered Floer homology.

View Paper: https://www.semanticscholar.org/paper/834a5ab1552c14ce58c16d73b2c6e7b0e9ce5900

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Citations in the corpus

• Bimodules in bordered Heegaard Floer homology (2010, unknown): “See the authors [22].”
• Fukaya categories of symmetric products and bordered Heegaard-Floer homology (2010, background): “y, we point out that, while in our approach Theorem 1.5 is obtained as a corollary of Theorems 1.3 and 1.4, a direct proof of this result has recently been obtained by Lipshitz, Ozsv´ath and Thurston [9] purely within the framework of bordered Heegaard-Floer theory. Acknowledgements I am very gratef”