Heat Kernels and Dirac Operators

Abstract

Originally published: Berlin ; New York : Springer-Verlag, 1992. (Grundlehren der mathematischen Wissenschaften ; 298). Background on differential geometry -- Asymptotic expansion of the heat kernel -- Clifford modules and Dirac operators -- Index density of Dirac operators -- The exponential map and the index density -- The equivariant index theorem -- Equivariant differential forms -- The Kirillov formula for the equivariant index -- The index bundle -- The family index theorem.