English

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

Number Theory 2016-03-09 v2 Differential Geometry

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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Cite

@article{arxiv.1312.2543,
  title  = {The Equivariant Cheeger-M\"uller Theorem on Locally Symmetric Spaces},
  author = {Michael Lipnowski},
  journal= {arXiv preprint arXiv:1312.2543},
  year   = {2016}
}

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50 pages