Geometry & Topology Seminar: "A Proper and Cocompact Lie Group Action on Spin Manifold"

Gong Cheng

Abstract: Suppose we have a spin manifold with a proper and cocompact (left) Lie group action which preserves the spin structure. We consider a Dirac operator on some bundle over the manifold and we prove the operator is Fredholm in a L^2 space we construct. This generalizes the results in my previous talk in the sense that the group can be non-unimodular.

Host: Xiang Tang