On the triply-graded Khovanov-Rozanskyy of knots and links

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Geometric Topology

Quantum Algebra

Representation Theory

On the triply-graded Khovanov-Rozanskyy of knots and links

A categorification of the colored Jones polynomial at a root of unity

There is a on the triply-graded khovanov--rozansky homology of knots and links over a field of positive characteristic that gives rise to an invariant in the homotopy category finite-dimensional a differential on triply-graded homology discovered by cautis is compatiblewith the structure.

As a consequence we get a categorification of the colored jones polynomial evaluated at a root of unity.

Authors

You Qi, Louis-Hadrien Robert, Joshua Sussan, Emmanuel Wagner

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