title: Equivalence of Heegaard Floer homology and embedded contact homology via open book decompositions.
abstract: We sketch the proof of the equivalence between the hat versions of Heegaard Floer homology and embedded contact homology (ECH). The key point is to express these two Floer homology theories in terms of an open book decomposition of the ambient manifold.
authors.affiliation: Laboratoire de Mathématiques Jean Leray, Université de Nantes, F-44322 Nantes, France. vincent.colin@math.univ-nantes.fr
authors.forename: Vincent
authors.initials: V
authors.lastname: Colin
authors.forename: Paolo
authors.initials: P
authors.lastname: Ghiggini
authors.forename: Ko
authors.initials: K
authors.lastname: Honda