A graph TQFT for hat heegaard floer homology

Research output: Contribution to journalArticlepeer-review

Abstract

We construct maps on hat Heegaard Floer homology for cobordisms decorated with graphs. The graph TQFT allows for cobordisms with disconnected ends. Our con-struction 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.

Original languageEnglish (US)
Pages (from-to)439-460
Number of pages22
JournalQuantum Topology
Volume12
Issue number3
DOIs
StatePublished - 2021

All Science Journal Classification (ASJC) codes

  • Mathematical Physics
  • Geometry and Topology

Keywords

  • 3-manifold invariants
  • 4-manifold invari-ants
  • Heegaard Floer homology
  • TQFTs

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