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arXiv · 1801.09270

Duality and mapping tori in Heegaard Floer homology

Ian Zemke
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Abstract

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 $HF^+$.

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Ian Zemke. 2020-12-21. Duality and mapping tori in Heegaard Floer homology. https://doi.org/10.1112/topo.12206

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