Work

Sutured Heegaard Floer and embedded contact homologies are isomorphic

Year: 2025

Type: article

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 3 -manifolds are characterized by the fact that they carry an adapted Reeb vector field without periodic orbits.

Source: Journal of the European Mathematical Society

DOI: 10.4171/jems/1719

Authors: Vincent Colin, Paolo Ghiggini, Ko Honda

Institutions: Nantes Université, Université Grenoble Alpes, University of California, Los Angeles

Language: English

Topic: Geometric and Algebraic Topology

Subfield: Geometry and Topology

Field: Mathematics

Domain: Physical Sciences

Open Access status: diamond

Funders: National Science Foundation, California Institute of Technology, Centre Henri Lebesgue, Agence Nationale de la Recherche