Dirac Type Operators for Arithmetic Subgroups of Generalized Modular Groups

Elizabeth Bulla; Denis Constales; Rolf Soeren Krausshar; John Ryan

Dirac Type Operators for Arithmetic Subgroups of Generalized Modular Groups

偏微分方程分析 2007-05-23 v2 微分几何

作者: Elizabeth Bulla , Denis Constales , Rolf Soeren Krausshar , John Ryan

摘要

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 Poincar\'e type series.

关键词

dirac operators pseudodifferential operators index theorem

引用

@article{arxiv.math/0605324,
  title  = {Dirac Type Operators for Arithmetic Subgroups of Generalized Modular Groups},
  author = {Elizabeth Bulla and Denis Constales and Rolf Soeren Krausshar and John Ryan},
  journal= {arXiv preprint arXiv:math/0605324},
  year   = {2007}
}

备注

32 pages

Dirac Type Operators for Arithmetic Subgroups of Generalized Modular Groups

摘要

关键词

引用

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