Link cobordisms and functoriality in link Floer homology

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27 Scopus citations


We construct cobordism maps on link Floer homology associated to decorated link cobordisms. The maps are defined on a curved chain homotopy type invariant. We describe the construction and prove invariance. We also make a comparison with the graph TQFT for Heegaard Floer homology.

Original languageEnglish (US)
Pages (from-to)94-220
Number of pages127
JournalJournal of Topology
Issue number1
StatePublished - Mar 2019

All Science Journal Classification (ASJC) codes

  • Geometry and Topology


  • 57M25
  • 57M27 (primary)
  • 57R56 (secondary)


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