The Equivariant Cheeger-M\"uller Theorem on Locally Symmetric Spaces
classification
🧮 math.NT
math.DG
keywords
equivariantlocallyspacessymmetrictorsioncheeger-mcohomologytheorem
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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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