The Ozsv{á}th-Szab{ó} and Rasmussen concordance invariants are not equal
Abstract
Description
In this paper we present several counterexamples to Rasmussen's conjecture that the concordance invariant coming from Khovanov homology is equal to twice the invariant coming from Ozsv{á}th-Szab{ó} Floer homology. The counterexamples are twisted Whitehead doubles of the (2,2n+1) torus knots.
13 pages, 2 large color figures, 1 small black/white figure
13 pages, 2 large color figures, 1 small black/white figure