- 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.