On the contact class in Heegaard Floer homology
arXiv:math/0609734
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,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.
arXiv comment17 pages, figures are in color. Lemma added
References in corpus (2)
Cited by in corpus (11)
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- Capping off open books and the Ozsvath-Szabo contact invariant
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- Combinatorial proofs for basic properties of Ozsvath-Szabo invariant
- On overtwisted, right-veering open books
- Torsion and Open Book Decompositions