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

@inproceedings{Qi2021ACO, title={A categorification of the colored Jones polynomial at a root of unity}, author={You Qi and Louis-Hadrien Robert and Joshua Sussan and Emmanuel Wagner}, year={2021} }

There is a p-differential on the triply-graded Khovanov–Rozansky homology of knots and links over a field of positive characteristic p that gives rise to an invariant in the homotopy category finite-dimensional p-complexes. A differential on triply-graded homology discovered by Cautis is compatible with the p-differential structure. As a consequence we get a categorification of the colored Jones polynomial evaluated at a 2pth root of unity.

## One Citation

On some $p$-differential graded link homologies II

- Mathematics
- 2021

In [QS20], a link invariant categorifying the Jones polynomial at a 2pth root of unity, where p is an odd prime, was constructed. This categorification utilized an N = 2 specialization of a…

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