paper

Planar open books and Floer homology

arXiv:math/0504403

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.

17 pages, 4 figures