Bounds for the Thurston-Bennequin number from Floer homology

Details Bounds for the Thurston-Bennequin number from Floer homology Bounds for the Thurston-Bennequin number from Floer homology

2003-11-06

arxiv.org/abs/math/0311090v2

Algebr. Geom. Topol. 4 (2004) 399-406

Mathematics

Symplectic Geometry

Published by Algebraic and Geometric Topology at http://www.maths.warwick.ac.uk/agt/AGTVol4/agt-4-20.abs.html

Scientific paper

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.

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