The Selberg trace formula for Dirac operators

Details The Selberg trace formula for Dirac operators The Selberg trace formula for Dirac operators

2006-07-07

arxiv.org/abs/math-ph/0607010v1

J.Math.Phys. 47 (2006) 112104

Physics

Mathematical Physics

Scientific paper

10.1063/1.2359578

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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