The finiteness conjecture for Skein modulesAlgebra & Discrete Mathematics
|Speaker:||Sam Gunningham, Kings College London|
|Start time:||Mon, Mar 2 2020, 12:10PM|
The Kauffman bracket skein module of an oriented 3-manifold M is a vector space (depending on a parameter q) which is generated by framed links in M modulo certain skein relations. The goal for the talk is the explain our recent proof (joint with David Jordan and Pavel Safronov) that the skein module of a closed 3 manifold is finite dimensional for generic q, confirming a conjecture of Witten. The proof involves understanding skein modules in terms of deformation quantizations of SL(2,C)-character varieties.