On the index of Dirac operators on arithmetic quotients
Abstract
Using the ArthurSelberg trace formula we express the index of a Dirac operator on an arithmetic quotient over a totally real field with at least two real embeddings as the integral over the index form plus a sum of orbital integrals. For the Euler operator these orbital integrals are shown to vanish for products of rank one spaces. In this case the index theorem looks exactly as in the compact case.
 Publication:

eprint arXiv:dgga/951200
 Pub Date:
 December 1995
 arXiv:
 arXiv:dgga/9512001
 Bibcode:
 1995dg.ga....12001D
 Keywords:

 Mathematics  Differential Geometry
 EPrint:
 11 pages LATEX