Index Theory for Coverings

Details Index Theory for Coverings Index Theory for Coverings

2008-06-25

arxiv.org/abs/0806.4043v1

Mathematics

Differential Geometry

48 pages, 0 figures, english translation of author's diploma thesis of 1997

Scientific paper

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.

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