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Computable bounds for Rasmussen’s concordance invariant

Part of: Low-dimensional topology

Published online by Cambridge University Press:  13 December 2010

Andrew Lobb
Andrew Lobb*
Affiliation:
Mathematics Department, Stony Brook University, Stony Brook, NY 11794, USA (email: lobb@math.sunysb.edu)
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Abstract

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Given a diagram D of a knot K, we give easily computable bounds for Rasmussen’s concordance invariant s(K). The bounds are not independent of the diagram D chosen, but we show that for diagrams satisfying a given condition the bounds are tight. As a corollary we improve on previously known Bennequin-type bounds on the slice genus.

Keywords

knotsslice genusslice-Bennequin

MSC classification

Secondary: 57M25: Knots and links in $S^3$

Information

Type
Research Article
Information
Compositio Mathematica , Volume 147 , Issue 2 , March 2011 , pp. 661 - 668
Copyright
Copyright © Foundation Compositio Mathematica 2010

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