Computable bounds for Rasmussen's concordance invariant

Details Computable bounds for Rasmussen's concordance invariant Computable bounds for Rasmussen's concordance invariant

2009-08-19

arxiv.org/abs/0908.2745v2

Mathematics

Geometric Topology

8 pages, 1 figure. A rewrite. New results and references added, main results unchanged

Scientific paper

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.

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