Bounds for the Thurston-Bennequin number from Floer homology
Olga Plamenevskaya
Abstract
Using a knot concordance invariant from the Heegaard Floer theory of Ozsvath and Szabo, we obtain new bounds for the Thurston-Bennequin and rotation numbers of Legendrian knots in S3. We also apply these bounds to calculate the knot concordance invariant for certain knots.
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