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Duality and mapping tori in Heegaard Floer homology
Journal of Topology  (IF1.582),  Pub Date : 2021-09-29, DOI: 10.1112/topo.12206
Ian Zemke

We show that the graph TQFT for Heegaard Floer homology satisfies a strong version of Atiyah's duality axiom for a TQFT. As an application, we compute some Heegaard Floer mixed invariants of 4-dimensional mapping tori in terms of Lefschetz numbers on $HF +$.