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On skein theory in dimension four

Algebra & Discrete Mathematics

Speaker: Paul Wedrich, University of Hamburg
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Location: 2112 MSB
Start time: 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.