Geodesic
Computations of the Ozsváth–Szabó knot concordance invariant
Livingston, Charles1
1 Department of Mathematics, Indiana University, Bloomington, Indiana 47405, USA
Geometry & topology, Tome 8 (2004) no. 2, pp. 735-742.

Voir la notice de l'article provenant de la source Mathematical Sciences Publishers

Ozsváth and Szabó have defined a knot concordance invariant τ that bounds the 4–ball genus of a knot. Here we discuss shortcuts to its computation. We include examples of Alexander polynomial one knots for which the invariant is nontrivial, including all iterated untwisted positive doubles of knots with nonnegative Thurston–Bennequin number, such as the trefoil, and explicit computations for several 10 crossing knots. We also note that a new proof of the Slice–Bennequin Inequality quickly follows from these techniques.

DOI : 10.2140/gt.2004.8.735
Keywords: concordance, knot genus, Slice–Bennequin Inequality

Livingston, Charles 1

1 Department of Mathematics, Indiana University, Bloomington, Indiana 47405, USA 
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Livingston, Charles. Computations of the Ozsváth–Szabó knot concordance invariant. Geometry & topology, Tome 8 (2004) no. 2, pp. 735-742. doi : 10.2140/gt.2004.8.735. http://geodesic.mathdoc.fr/articles/10.2140/gt.2004.8.735/

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