Index Theory for Coverings
classification
🧮 math.DG
math.SP
keywords
coveringsgammaoperatorsanalogueanalysisatiyah-patodi-singerbasicscylindrical
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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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