Duality and mapping tori in Heegaard Floer homology

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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 (Formula presented.).

Original languageEnglish (US)
Pages (from-to)1027-1112
Number of pages86
JournalJournal of Topology
Issue number3
StatePublished - Sep 2021

All Science Journal Classification (ASJC) codes

  • Geometry and Topology


  • 57K16
  • 57K41
  • 57R58 (primary)


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