\(L^ 2\)-torsion invariants

DOI10.1016/0022-1236(92)90036-IzbMath0771.57009OpenAlexW2010518313WikidataQ126282050 ScholiaQ126282050MaRDI QIDQ1207135

Varghese Mathai, Alan L. Carey

Publication date: 2 May 1993

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0022-1236(92)90036-i

zbMATH Keywords

\(L^ 2\)-Reidemeister-Franz torsionFuglede- Kadison determinantHilbert chain complex

Mathematics Subject Classification ID

Simple homotopy type, Whitehead torsion, Reidemeister-Franz torsion, etc. (57Q10)

Related Items

A Cheeger-Müller theorem for delocalized analytic torsion, Regularity of the analytic torsion form on families of normal coverings, Discrete Morse theory and extended \(L^2\) homology, Analytic and Reidemeister torsion for representations in finite type Hilbert modules, Holomorphic $L^2$ torsion without determinant class condition, Von Neumann spectra near the spectral gap, \(L^ 2\)-torsion invariants and homology growth of a torus bundle over \(S^ 1\)., Inequalities for the Novikov-Shubin invariants, L² TORSION WITHOUT THE DETERMINANT CLASS CONDITION AND EXTENDED L² COHOMOLOGY, \(L^ 2\)-analytic torsion, On the homotopy invariance of 𝐿² torsion for covering spaces, Analytic torsion on manifolds under locally compact group actions, The Asymptotics of the $L^2$-analytic Torsion on CR Manifolds with $S^1$ Action, An \(L^2\)-Cheeger Müller theorem on compact manifolds with boundary, Eta and rho invariants on manifolds with edges, Entropy, determinants, and $L^2$-torsion, Families torsion and Morse functions for covering spaces

Cites Work

• \(L_ 2\)-cohomology and group cohomology
• Analytic torsion and closed geodesics on hyperbolic manifolds
• \(L^ 2\)-analytic torsion
• De Rham-Hodge theory for \(L^2\)-cohomology of infinite coverings
• Analytic torsion and R-torsion of Riemannian manifolds
• Analytic torsion and the heat equation
• Bounds on the von Neumann dimension of \(L^ 2\)-cohomoloy and the Gauss- Bonnet theorem for open manifolds
• R-torsion and the Laplacian on Riemannian manifolds
• Determinant theory in finite factors
• VON NEUMANN DIMENSION AND THE HOMOLOGY OF COVERING SPACES
• Hyperbolic geometry: The first 150 years
• Whitehead torsion
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item