Algebraic and Geometric Topology 4 (2004), paper no. 20, pages 399-406.

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 S^3. We also apply these bounds to calculate the knot concordance invariant for certain knots.

Keywords. Legendrian knot, Thurston-Bennequin number, Heegaard Floer homology

AMS subject classification. Primary: 57R17, 57M27.

DOI: 10.2140/agt.2004.4.399

E-print: arXiv:math.SG/0311090

Submitted: 3 March 2004. Accepted: 28 March 2004. Published: 10 June 2004.

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Olga Plamenevskaya
Department of Mathematics, Harvard University
Cambridge, MA 02138, USA

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