paper

A slice genus lower bound from sl(n) Khovanov-Rozansky homology

arXiv:math/0702393 · doi:10.1016/j.aim.2009.06.001

Abstract

We show that perturbing the definition of sl(n) Khovanov-Rozansky link homology gives a lower bound on the slice genus of a knot. As a corollary this yields another proof of Milnor's conjecture on the slice genus of torus knots.

68 pages, 43 figures; unused figures removed

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