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

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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Detalhes bibliográficos
Main Authors: Colin, Vincent, Ghiggini, Paolo, Honda, Ko
Formato: Artigo
Idioma:Inglês
Publicado em: National Academy of Sciences 2011
Assuntos:
Acesso em linha:https://ncbi.nlm.nih.gov/pmc/articles/PMC3100941/
https://ncbi.nlm.nih.gov/pubmed/21525415
https://ncbi.nlm.nih.govhttp://dx.doi.org/10.1073/pnas.1018734108
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