Geodesic
Bounds for the Thurston–Bennequin number from Floer homology
Plamenevskaya, Olga1
1Department of Mathematics, Harvard University, Cambridge MA 02138, USA
Algebraic and Geometric Topology, Tome 4 (2004) no. 1, pp. 399-406
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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.

DOI : 10.2140/agt.2004.4.399
Keywords: Legendrian knot, Thurston–Bennequin number, Heegaard Floer homology

Plamenevskaya, Olga  1

1 Department of Mathematics, Harvard University, Cambridge MA 02138, USA 
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Plamenevskaya, Olga. Bounds for the Thurston–Bennequin number from Floer homology. Algebraic and Geometric Topology, Tome 4 (2004) no. 1, pp. 399-406. doi: 10.2140/agt.2004.4.399

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