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The Ozsváth-Szabó and Rasmussen Concordance Invariants are not Equal

From: American Journal of Mathematics
Volume 130, Number 2, April 2008
pp. 441-453 | 10.1353/ajm.2008.0017

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.