Topology and Group Theory Seminar: April 9, 2025
Speaker: John Ratcliffe (Vanderbilt)
Title: The G-index of a spin closed hyperbolic 4-manifold M
Abstract: In this talk, we will show how to compute the G-index of a spin closed hyperbolic 4-manifold M for a group G of symmetries of a spin structure on M. As an example, we will compute the G-index for the group G of symmetries of the fully symmetric spin structure on the Davis closed hyperbolic 4-manifold M. Our talk will involve finite groups, infinite discrete groups, and Lie groups. The talk is based on joint work with Steven Tschantz.