Formulas for the action of Dehn twists on skein modules and their applications

Date: 
2018/04/24 Tue 15:00 - 16:30
Room: 
Room 609, Building No.6
Speaker: 
Shunsuke Tsuji
Affiliation: 
RIMS, Kyoto University
Abstract: 

We give explicit formulas for the action of the Dehn twist along a simple closed curve of a surface on the completed Kauffman bracket skein modules and the completed HOMFLY-PT type skein modules of the surface.
As an application, using this formula, we construct some invariants for an integral homology 3-sphere.