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- W2949984278 abstract "Using the knot Floer homology filtration, we define invariants associated to a knot in a three-manifold possessing non-vanishing Floer co(homology) classes. In the case of the Ozsvath-Szabo contact invariant we obtain an invariant of knots in a contact three-manifold. This invariant provides an upper bound for the Thurston-Bennequin plus rotation number of any Legendrian realization of the knot. We use it to demonstrate the first systematic construction of prime knots in contact manifolds other than the three-sphere with negative maximal Thurston-Bennequin invariant. Perhaps more interesting, our invariant provides a criterion for an open book to induce a tight contact structure. A corollary is that if a manifold possesses contact structures with distinct non-vanishing Ozsvath-Szabo invariants, then any fibered knot can realize the classical Eliashberg-Bennequin bound in at most one of these contact structures." @default.
- W2949984278 created "2019-06-27" @default.
- W2949984278 creator A5086393804 @default.
- W2949984278 date "2007-08-03" @default.
- W2949984278 modified "2023-09-27" @default.
- W2949984278 title "An Ozsvath-Szabo Floer homology invariant of knots in a contact manifold" @default.
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