Index Theory for Coverings

2008/06/25 by Boris Vaillant, Vaillant, Boris
Mathematics · #58Gxx #Differential Geometry (math.DG) #FOS: Mathematics #Spectral Theory (math.SP) #math.DG #math.SP #msc:58Gxx

paper · pdf · doi:10.48550/arxiv.0806.4043

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

arxiv created 2008/06/25 · arxiv updated 2009/12/01

Abstract

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

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