JournalsqtVol. 12, No. 3pp. 439–460

A graph TQFT for hat Heegaard Floer homology

  • Ian Zemke

    Princeton University, USA
A graph TQFT for hat Heegaard Floer homology cover
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Abstract

We construct maps on hat Heegaard Floer homology for cobordisms decorated with graphs. The graph TQFT allows for cobordisms with disconnected ends. Our construction uses Juhász’s sutured Floer TQFT. We compute the maps for several elementary graph cobordisms. As an application, we compute the action of the fundamental group on hat Heegaard Floer homology.

Cite this article

Ian Zemke, A graph TQFT for hat Heegaard Floer homology. Quantum Topol. 12 (2021), no. 3, pp. 439–460

DOI 10.4171/QT/154