The Ozsv{á}th-Szab{ó} and Rasmussen concordance invariants are not equal
arXiv:math/0512348
Abstract
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