On the contact class in heegaard floer homology

Ko Honda University of Southern California William H. Kazez University of Georgia Gordana Matic University of Georgia

Differential Geometry mathscidoc:1609.10141

Journal of Differential Geometry, 83, (2), 289-311, 2009
We present an alternate description of the Ozsv´ath-Szab´o contact class in Heegaard Floer homology. Using our contact class, we prove that if a contact structure (M, ) 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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@inproceedings{ko2009on,
  title={ON THE CONTACT CLASS IN HEEGAARD FLOER HOMOLOGY},
  author={Ko Honda, William H. Kazez, and Gordana Matic},
  url={http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20160911201739418953798},
  booktitle={Journal of Differential Geometry},
  volume={83},
  number={2},
  pages={289-311},
  year={2009},
}
Ko Honda, William H. Kazez, and Gordana Matic. ON THE CONTACT CLASS IN HEEGAARD FLOER HOMOLOGY. 2009. Vol. 83. In Journal of Differential Geometry. pp.289-311. http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20160911201739418953798.
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