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

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

2007-02-13

arxiv.org/abs/math/0702393v2

Adv. Math. 222 (2009) 1220-1276

Mathematics

Geometric Topology

68 pages, 43 figures; unused figures removed

Scientific paper

10.1016/j.aim.2009.06.001

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.

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