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Planar open books and Floer homology

Peter Ozsvath·Andras I. Stipsicz·Zoltan Szabo
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Abstract

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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Peter Ozsvath, Andras I. Stipsicz, Zoltan Szabo. 2005-04-20. Planar open books and Floer homology. https://arxiv.org/abs/math/0504403

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