A categorification of the colored Jones polynomial at a root of unity - Archive ouverte HAL
Pré-Publication, Document De Travail Année : 2022

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

You Qi
  • Fonction : Auteur
Louis-Hadrien Robert
Joshua Sussan
  • Fonction : Auteur

Résumé

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.

Dates et versions

hal-03882789 , version 1 (02-12-2022)

Identifiants

Citer

You Qi, Louis-Hadrien Robert, Joshua Sussan, Emmanuel Wagner. A categorification of the colored Jones polynomial at a root of unity. 2022. ⟨hal-03882789⟩
13 Consultations
0 Téléchargements

Altmetric

Partager

More