The Equivariant Cheeger-M\"uller Theorem on Locally Symmetric Spaces

Michael Lipnowski

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arXiv · 1312.2543

The Equivariant Cheeger-M\"uller Theorem on Locally Symmetric Spaces

Michael Lipnowski

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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.

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Michael Lipnowski. 2013-12-09. The Equivariant Cheeger-M\"uller Theorem on Locally Symmetric Spaces. https://arxiv.org/abs/1312.2543

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