On the contact class in Heegaard Floer homology

Details On the contact class in Heegaard Floer homology On the contact class in Heegaard Floer homology

2006-09-26

arxiv.org/abs/math/0609734v2

Mathematics

Geometric Topology

17 pages, figures are in color. Lemma added

Scientific paper

We present an alternate description of the Ozsvath-Szabo contact class in
Heegaard Floer homology. Using our contact class, we prove that if a contact
structure (M,\xi) has an adapted open book decomposition whose page S is a
once-punctured torus, then the monodromy is right-veering if and only if the
contact structure is tight.

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