An extended Cheeger-Müller theorem for covering spaces

DOI10.1016/j.top.2005.04.001zbMath1082.58030OpenAlexW2048407415MaRDI QIDQ2568994

Weiping Zhang

Publication date: 17 October 2005

Published in: Topology (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.top.2005.04.001

zbMATH Keywords

von Neumann algebraanalytic torsionanomaly formula\(L^{2}\)-index theoryCheeger-Müller type theoremextended cohomology

Mathematics Subject Classification ID

Determinants and determinant bundles, analytic torsion (58J52) Index theory (19K56)

Related Items (8)

A Cheeger-Müller theorem for delocalized analytic torsion ⋮ Regularity of the analytic torsion form on families of normal coverings ⋮ Holomorphic $L^2$ torsion without determinant class condition ⋮ Equivariant eta forms and equivariant differential \(K\)-theory ⋮ Analytic torsion on manifolds under locally compact group actions ⋮ An \(L^2\)-Cheeger Müller theorem on compact manifolds with boundary ⋮ Eta and rho invariants on manifolds with edges ⋮ Families torsion and Morse functions for covering spaces

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