THE EQUIVARIANT CHEEGER–MÜLLER THEOREM ON LOCALLY SYMMETRIC SPACES

DOI10.1017/S1474748014000310zbMath1335.58021arXiv1312.2543OpenAlexW2963214382MaRDI QIDQ3460407

Michael Lipnowski

Publication date: 7 January 2016

Published in: Journal of the Institute of Mathematics of Jussieu (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1312.2543

zbMATH Keywords

Reidemeister torsionequivariant analytic torsionlocally symmetric spacearithmetic groupCheeger-Müller theorem

Mathematics Subject Classification ID

Determinants and determinant bundles, analytic torsion (58J52) Cohomology of arithmetic groups (11F75) Homology and homotopy of topological groups and related structures (57T99)

Related Items (1)

Twisted limit formula for torsion and cyclic base change

Cites Work

• Analytic and topological torsion for manifolds with boundary and symmetry
• Nombres de Tamagawa et groupes unipotents en caractéristique p
• Analytic torsion for group actions
• Smooth equivariant triangulations of G-manifolds for G a finite group
• Analytic torsion and R-torsion of Riemannian manifolds
• Analytic torsion and the heat equation
• Milnor and Ray-Singer metrics on the equivariant determinant of a flat vector bundle
• Automorphic forms on GL (2)
• R-torsion and the Laplacian on Riemannian manifolds
• Transgressed Euler classes of ${\rm SL}(2n,\mathbf{Z})$ vector bundles, adiabatic limits of eta invariants and special values of $L$-functions
• The projectivity of the moduli space of stable curves. I: Preliminaries on "det" and "Div".
• On the Integral Cohomology of Bianchi Groups
• The asymptotic growth of torsion homology for arithmetic groups
• Analytic Torsion and R-Torsion for Unimodular Representations

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