Volume 4, issue 1 (2004)

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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 ${S}^{3}$. 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