Heegaard Floer homology as morphism spaces

Robert Lipshitz; Peter S. Ozsváth; Dylan P. Thurston

doi:10.4171/qt/25

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arXiv · 1005.1248

Heegaard Floer homology as morphism spaces

Robert Lipshitz·Peter S. Ozsváth·Dylan P. Thurston

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Abstract

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.

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BibTeX RIS

Robert Lipshitz, Peter S. Ozsváth, Dylan P. Thurston. 2011-07-31. Heegaard Floer homology as morphism spaces. https://doi.org/10.4171/qt%2F25

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