The Ozsváth-Szabó and Rasmussen Concordance Invariants are not Equal
Abstract

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 Ozsváth-Szabó Floer homology. The counterexamples are twisted Whitehead doubles of (2, 2n + 1) torus knots.