Equivalence of Heegaard Floer homology and embedded contact homology via open book decompositions.
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- Record sourced from PubMed, PMID 21525415.
- Also identified by DOI 10.1073/pnas.1018734108 and PMC identifier 3100941.
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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.