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arxiv: math/0504403 · v1 · submitted 2005-04-20 · 🧮 math.SG · math.GT

Planar open books and Floer homology

classification 🧮 math.SG math.GT
keywords openbookcontactdecompositionsfloerhomologyplanarstructures
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Giroux has described a correspondence between open book decompositions on a 3--manifold and contact structures. In this paper we use Heegaard Floer homology to give restrictions on contact structures which correspond to open book decompositions with planar pages, generalizing a recent result of Etnyre.

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