Volume 4, issue 1 (2004)

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ISSN (electronic): 1472-2739
ISSN (print): 1472-2747
Bounds for the Thurston–Bennequin number from Floer homology

Olga Plamenevskaya

Algebraic & Geometric Topology 4 (2004) 399–406

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 S3. 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