Differential Geometry Working Seminar

Spencer Kelly, University of Waterloo

Constructing a Slice Theorem in Infinite Dimensions

The slice theorem is a powerful tool for understanding proper group actions on manifolds; however it does nothold on infinite dimensional manifolds, nor does there exist a general infinite dimensional extension of it.However, on specific infinite dimensional manifolds, working on a case-by-case basis, we have been able toconstruct analogues of the slice theorem. In this talk, we will investigate one of these cases, namely the space ofconnections on a bundle over a compact Riemannian manifold, acted on by the gauge group.

MC 5403