English

Index Theory for Coverings

Differential Geometry 2008-06-26 v1 Spectral Theory

Abstract

We establish the basics of the analysis of operators on coverings of manifolds with cylindrical ends with a group of deck transformations Γ\Gamma. We prove the Γ\Gamma-analogue of the Atiyah-Patodi-Singer formula for Dirac operators on such coverings.

Keywords

Cite

@article{arxiv.0806.4043,
  title  = {Index Theory for Coverings},
  author = {Boris Vaillant},
  journal= {arXiv preprint arXiv:0806.4043},
  year   = {2008}
}

Comments

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

R2 v1 2026-06-21T10:54:07.968Z