Equivalence of Heegaard Floer homology and embedded contact homology via open book decompositions.

Proc Natl Acad Sci U S A

Laboratoire de Mathématiques Jean Leray, Université de Nantes, F-44322 Nantes, France.

Published: May 2011

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.

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Source
http://www.ncbi.nlm.nih.gov/pmc/articles/PMC3100941PMC
http://dx.doi.org/10.1073/pnas.1018734108DOI Listing

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