The Ozsv{\'a}th-Szab{\'o} and Rasmussen concordance invariants are not equal
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🧮 math.GT
math.SG
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comingconcordancecounterexamplesequalhomologyinvariantozsvrasmussen
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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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