Robert Lipshitz, Peter S. Ozsváth, Dylan P. Thurston
Published 2010-05-07, updated 2011-07-31Version 2
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.
Comments: 57 pages, 14 figures; v2: many updates, including changing orientation conventions, which changed the signs in many theorems
Heegaard Floer homology of certain mapping tori
Heegaard Floer homology and alternating knots
Bordered Floer homology and the spectral sequence of a branched double cover I
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