Abstract
The goal here is Theorem 10.1 below, which is the modification of Theorem 9.1 in the presence of an automorphism γ. The only contributions to the asymptotic expansion come from neighborhoods of fixed points in M of γ, which in the principal G-bundle P correspond to fixed points modulo the action of G. The extra ingredient needed here is the asymptotic estimate in Lemma 10.1 of the geodesic distance between two points in P which are close to the same G-orbit.
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© 1996 Birkhäuser Boston
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Duistermaat, J.J. (1996). The Automorphism. In: The Heat Kernel Lefschetz Fixed Point Formula for the Spin-c Dirac Operator. Progress in Nonlinear Differential Equations and their Applications, vol 18. Birkhäuser Boston. https://doi.org/10.1007/978-1-4612-5344-0_10
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DOI: https://doi.org/10.1007/978-1-4612-5344-0_10
Publisher Name: Birkhäuser Boston
Print ISBN: 978-1-4612-5346-4
Online ISBN: 978-1-4612-5344-0
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