The Selberg trace formula for Dirac operators
classification
🧮 math-ph
math.MP
keywords
operatorsdiracformulahyperbolicselbergspectrasurfacestrace
read the original 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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