Index Theory for Coverings
Abstract
We establish the basics of the analysis of operators on coverings of manifolds with cylindrical ends with a group of deck transformations $\Gamma$. We prove the $\Gamma$-analogue of the Atiyah-Patodi-Singer formula for Dirac operators on such coverings.
- Publication:
-
arXiv e-prints
- Pub Date:
- June 2008
- DOI:
- 10.48550/arXiv.0806.4043
- arXiv:
- arXiv:0806.4043
- Bibcode:
- 2008arXiv0806.4043V
- Keywords:
-
- Mathematics - Differential Geometry;
- Mathematics - Spectral Theory;
- 58Gxx
- E-Print:
- 48 pages, 0 figures, english translation of author's diploma thesis of 1997