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