BIMSA > BIMSA TQFT and Higher Symmetries Seminar BIMSA TQFT and Higher Symmetries Seminar On skein theory in dimension four
On skein theory in dimension four
Organizers
Ansi Bai , Hank Chen , Liang Kong , Yilong Wang , Zhihao Zhang , Hao Zheng
Speaker
Paul Wedrich
Time
Tuesday, April 15, 2025 4:00 PM - 6:00 PM
Venue
A3-2a-302
Online
Zoom 468 248 1222 (BIMSA)
Abstract
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.