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arxiv: 1103.1290 · v1 · pith:2DN5K3SWnew · submitted 2011-03-07 · 🧮 math.SG

HF = ECH via open book decompositions: a summary

Vincent Colin , Paolo Ghiggini , Ko Honda This is my paper
classification 🧮 math.SG
keywords homologybookfloeropenambientcontactdecompositiondecompositions
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We sketch the proof of the equivalence between the hat versions of Heegaard Floer homology and embedded contact homology. 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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  1. On contact type hypersurfaces in 4-space

    math.GT 2020-08 unverdicted novelty 6.0

    No Brieskorn homology sphere admits a contact type embedding in R^4, with consequences for rationally convex domains in C^2 and distinctions between Stein and Weinstein structures.