On the contact class in Heegaard Floer homology

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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,ξ) 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.
17 pages, figures are in color. Lemma added

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Geometric Topology, Primary 57M50; Secondary 53C15

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http://salesiana.dossiersoluciones.com/handle/123456789/127737

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0609734
 http://arxiv.org/abs/math/0609734

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arXiv