The Ozsv{á}th-Szab{ó} and Rasmussen concordance invariants are not equal

Mathematics – Geometric Topology

Scientific paper

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13 pages, 2 large color figures, 1 small black/white figure

Scientific paper

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{\'a}th-Szab{\'o} Floer homology. The
counterexamples are twisted Whitehead doubles of the (2,2n+1) torus knots.

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