Duality and mapping tori in Heegaard Floer homology
Ian Zemke
TL;DR
This paper demonstrates that the graph TQFT in Heegaard Floer homology adheres to a strong duality principle and uses this to compute invariants of 4D mapping tori via Lefschetz numbers.
Contribution
It establishes a strong duality property for the graph TQFT in Heegaard Floer homology and applies it to compute 4D mapping tori invariants.
Findings
Graph TQFT satisfies a strong version of Atiyah's duality axiom.
Computed Heegaard Floer mixed invariants of 4D mapping tori.
Expressed invariants in terms of Lefschetz numbers on HF^+.
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 .
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