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arXiv · 2103.01212

Tautological classes and symmetry in Khovanov-Rozansky homology

Eugene Gorsky·Matthew Hogancamp·Anton Mellit
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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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BibTeXRIS

Eugene Gorsky, Matthew Hogancamp, Anton Mellit. 2021-03-01. Tautological classes and symmetry in Khovanov-Rozansky homology. https://arxiv.org/abs/2103.01212

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