pith. sign in

arxiv: 1312.2543 · v2 · pith:C653HCYXnew · submitted 2013-12-09 · 🧮 math.NT · math.DG

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

classification 🧮 math.NT math.DG
keywords equivariantlocallyspacessymmetrictorsioncheeger-mcohomologytheorem
0
0 comments X
read the original 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.

This paper has not been read by Pith yet.

discussion (0)

Sign in with ORCID, Apple, or X to comment. Anyone can read and Pith papers without signing in.