Homology of torus knots

Published 25 Apr 2017 in math.QA, math.AG, math.GT, and math.RT | (1704.07630v1)

Abstract: Using the method of Elias-Hogancamp and combinatorics of toric braids we give an explicit formula for the triply graded Khovanov-Rozansky homology of an arbitrary torus knot, thereby proving some of the conjectures of Aganagic-Shakirov, Cherednik, Gorsky-Negut and Oblomkov-Rasmussen-Shende.

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Anton Mellit

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