Bounds for the Thurston–Bennequin number from Floer homology

Plamenevskaya, Olga

doi:10.2140/agt.2004.4.399

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Bounds for the Thurston–Bennequin number from Floer homology

Olga Plamenevskaya

Algebraic & Geometric Topology 4 (2004) 399–406

DOI: 10.2140/agt.2004.4.399

arXiv: math.SG/0311090

Abstract

Using a knot concordance invariant from the Heegaard Floer theory of Ozsváth and Szabó, 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

Mathematical Subject Classification 2000

Primary: 57R17, 57M27

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Publication

Received: 3 March 2004

Accepted: 28 March 2004

Published: 10 June 2004

Authors

Olga Plamenevskaya
Department of Mathematics Harvard University Cambridge MA 02138 USA

Volume 4, issue 1 (2004)