Heat Kernel Asymptotics on Homogeneous Bundles

Abstract

We consider Laplacians acting on sections of homogeneous vector bundles over symmetric spaces. By using an integral representation of the heat semi-group we find a formal solution for the heat kernel diagonal that gives a generating function for the whole sequence of heat invariants. We argue that the obtained formal solution correctly reproduces the exact heat kernel diagonal after a suitable regularization and analytical continuation.

29 pages, Proceedings of the 2007 Midwest Geometry Conference in Honor of Thomas P. Branson

References in corpus (2)

• Heat kernel expansion: user's manual
• Heat Kernel Approach in Quantum Field Theory

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