On skein theory in dimension fourAlgebra & Discrete Mathematics
|Paul Wedrich, University of Hamburg
|Fri, Mar 17 2023, 1:10PM
The Temperley-Lieb algebra describes the local behaviour of the Jones polynomial and gives rise to the Kauffman bracket skein modules of 3-manifolds. Going up by one dimension, Bar-Natan's dotted cobordisms describe the local behaviour of Khovanov homology and, likewise, give rise to skein modules of 4-manifolds. I will describe how to compute such skein modules via a handle decomposition in terms of link homology in the 3-sphere. Based on joint work with Morrison-Walker and Manolescu-Walker.