Subevent of GeoGT Session #3
‟An explicit section of the Laudenbach type exact sequence of the big mapping class group of $Map(M_Γ)$” by Jorge Andres Robinson Arrieta <jar064@uark.edu>, University of Arkansas
Abstract:
Brian Udall proved that there is a short exact sequence of the form:
\(1 \xrightarrow{} Twist(M_{\Gamma})\xrightarrow{} Map(M_{\Gamma})\xrightarrow{\Psi} Map(\Gamma) \xrightarrow{}1,\) where $Twist(M_{\Gamma})$ is the subgroup of $Map(M_{\Gamma})$ generated by sphere twists over sphere systems of $M_{\Gamma}.$ Udall also proved that this short exact sequence splits topologically. The purpose of this talk is to present an explicit formula for a section s of this short exact sequence.