Can I read A categorification of the colored Jones polynomial at a root of unity on EtoBox?

A categorification of the colored Jones polynomial at a root of unity by Qi, You; Robert, Louis-Hadrien; Sussan, Joshua; Wagner, Emmanuel is a scholarly article available to read on EtoBox.

What is A categorification of the colored Jones polynomial at a root of unity about?

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 $2p$th root of unity.

Author

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

Published

2021

Language

EN