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The Equivariant Cheeger-Müller Theorem on Locally Symmetric Spaces (1312.2543v2)
Published 9 Dec 2013 in math.NT and math.DG
Abstract: In this paper, we provide a concrete interpretation of equivariant Reidemeister torsion and demonstrate that Bismut-Zhang's equivariant Cheeger-M\"{u}ller 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.