The Equivariant Cheeger-Müller Theorem on Locally Symmetric Spaces

2013/12/09 by Michael Lipnowski, Lipnowski, Michael
Mathematics · #Differential Geometry (math.DG) #FOS: Mathematics #Number Theory (math.NT) #math.DG #math.NT

paper · pdf · doi:10.48550/arxiv.1312.2543

50 pages

arxiv created 2016/03/08 · arxiv updated 2016/03/09

Abstract

In this paper, we provide a concrete interpretation of equivariant Reidemeister torsion and demonstrate that Bismut-Zhang's equivariant Cheeger-Müller theorem simplifies considerably when applied to locally symmetric spaces. In a companion paper, this allows us to extend recent results on torsion cohomology growth and torsion cohomology comparison for arithmetic locally symmetric spaces an equivariant setting.

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• Equivariant Cohomology and Representations of the Symmetric Group