Algebra/Topology seminar

Speaker: Arthur Soulié

Title: Some stable twisted cohomology for handlebody mapping class groups

Abstract: The twisted cohomologies of the mapping class groups of handlebodies are very difficult to compute generally speaking. In this talk, I will present the computations of the stable cohomologies of these groups with twisted coefficients given by the first homology of the associated handlebodies and that of their boundaries. In particular, this involves proving some new twisted homological stability results for these groups, drawing on the untwisted ones of Hatcher and Wahl and using the methods set by Randal-Williams and Wahl. All this represents a joint work with Erik Lindell.