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Sfb 288 Differential Geometry and Quantum Physics |
Abstract for Sfb Preprint No. 424
On the Spectral Theory of Surfaces with Cusps W. Ballmann and J. Brüning
We are interested in the spectral properties of Dirac operators on noncompact surfaces. Under the assumption that 1) the ends of the given surface M are cusps as in the case of finite surfaces of negative curvature and 2) the geometry of the Dirac bundle in question is closely related to the geometry of M we investigate th essential spectrum of the corresponding Dirac operator D and discuss its Fredholm index.
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