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Tautological classes and symmetry in Khovanov-Rozansky homology (2103.01212v2)
Published 1 Mar 2021 in math.RT, math.GT, and math.QA
Abstract: We define a new family of commuting operators $F_k$ in Khovanov-Rozansky link homology, similar to the action of tautological classes in cohomology of character varieties. We prove that $F_2$ satisfies ``hard Lefshetz property" and hence exhibits the symmetry in Khovanov-Rozansky homology conjectured by Dunfield, Gukov and Rasmussen.
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