On the contact class in Heegaard Floer homology
Geometric Topology
2007-05-23 v2
Abstract
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.
Keywords
Cite
@article{arxiv.math/0609734,
title = {On the contact class in Heegaard Floer homology},
author = {Ko Honda and William H. Kazez and Gordana Matic},
journal= {arXiv preprint arXiv:math/0609734},
year = {2007}
}
Comments
17 pages, figures are in color. Lemma added