06-196 Jens Bolte and Hans-Michael Stiepan

The Selberg trace formula for Dirac operators (61K, LaTeX 2e) Jul 10, 06

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Abstract. We examine spectra of Dirac operators on compact hyperbolic surfaces. Particular attention is devoted to symmetry considerations, leading to non-trivial multiplicities of eigenvalues. The relation to spectra of Maass-Laplace operators is also exploited. Our main result is a Selberg trace formula for Dirac operators on hyperbolic surfaces.

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