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HF = ECH via open book decompositions: a summary

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abstract

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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math.GT 1

years

2020 1

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UNVERDICTED 1

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On contact type hypersurfaces in 4-space

math.GT · 2020-08-06 · 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.

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  • On contact type hypersurfaces in 4-space math.GT · 2020-08-06 · unverdicted · none · ref 7 · internal anchor

    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.