Videos

p-DG structures in link homology

Presenter
November 6, 2021
Abstract
For a prime p, the WRT invariant of a 3-manifold lives in a cyclotomic ring. In order to categorify such rings, Khovanov developed the machinery of p-DG algebras. Building upon work of Khovanov-Rozansky, we discuss a p-DG structure on link homology. Using ideas of Cautis, Queffelec-Rose-Sartori, and Robert-Wagner, we show that it gives rise to a categorification of the Jones polynomial at a root of unity.