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Sutured Heegaard Floer and embedded contact homologies are isomorphic

  • Vincent Colin

    Nantes Université, France
    ORCID

  • Paolo Ghiggini

    Université Grenoble Alpes, France

  • Ko Honda

    University of California, Los Angeles, USA
    ORCID
Sutured Heegaard Floer and embedded contact homologies are isomorphic cover
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Abstract

We prove the equivalence of the sutured versions of Heegaard Floer homology, monopole Floer homology, and embedded contact homology. As applications we show that the knot versions of Heegaard Floer homology and embedded contact homology are equivalent and that product sutured -manifolds are characterized by the fact that they carry an adapted Reeb vector field without periodic orbits.

Cite this article

Vincent Colin, Paolo Ghiggini, Ko Honda, Sutured Heegaard Floer and embedded contact homologies are isomorphic. J. Eur. Math. Soc. (2025), published online first

DOI 10.4171/JEMS/1719