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Dirac Type Operators for Arithmetic Subgroups of Generalized Modular Groups

Elizabeth Bulla·Denis Constales·Rolf Soeren Krausshar·John Ryan
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Abstract

Fundamental solutions of Dirac type operators are introduced for a class of conformally flat manifolds. This class consists of manifolds obtained by factoring out the upper half-space of $\mathbb{R}^n$ by arithmetic subgroups of generalized modular groups. Basic properties of these fundamental solutions are presented together with associated Eisenstein and Poincaré type series.

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Elizabeth Bulla, Denis Constales, Rolf Soeren Krausshar, John Ryan. 2006-06-21. Dirac Type Operators for Arithmetic Subgroups of Generalized Modular Groups. https://arxiv.org/abs/math/0605324

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