Computing colored Khovanov homologyMPIM

by Karim Ritter von Merkl (Universität Hamburg)

Tuesday Aug 5, 2025, 11:00 AM → 12:00 PM Europe/Berlin

MPIM, Vivatsgasse, 7 - Lecture Hall (Max Planck Institute for Mathematics)

Low-dimensional topology seminar

Colored Khovanov homology is a categorification of the colored Jones polynomial. In this talk, I will explain various ways to compute colored Khovanov from the Khovanov homologies of cables and why they are isomorphic over a field of characteristic zero, yiedling a relation that directly categorifies the relation between the colored Jones polynomial and the Jones polynomials of cables. Finally, I will show a selection of example computations of colored Khovanov homologies by means of an interactive database.