A Cheeger-Müller theorem for manifolds with wedge singularities

DOI10.2140/apde.2022.15.567zbMath1496.58005arXiv1807.02178OpenAlexW2846295571MaRDI QIDQ2152575

Frédéric Rochon, Pierre Albin, David A. Sher

Publication date: 8 July 2022

Published in: Analysis \& PDE (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1807.02178

zbMATH Keywords

resolventanalytic torsionheat kernelwedge metrics

Mathematics Subject Classification ID

Elliptic equations on manifolds, general theory (58J05) Determinants and determinant bundles, analytic torsion (58J52) Heat and other parabolic equation methods for PDEs on manifolds (58J35) Homology with local coefficients, equivariant cohomology (55N25)

Related Items (2)

The index formula for families of Dirac type operators on pseudomanifolds ⋮ Hypoelliptic operators in geometry. Abstracts from the workshop held May 21--26, 2023

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• A gluing formula for the analytic torsion on singular spaces
• On the closure of elliptic wedge operators
• Analytic torsion on manifolds with edges
• Hodge cohomology of gravitational instantons
• Resolvent at low energy and Riesz transform for Schrödinger operators on asymptotically conic manifolds. II.
• Resolvent at low energy and Riesz transform for Schrödinger operators on asymptotically conic manifolds. I.
• Intersection R-torsion and analytic torsion for pseudomanifolds
• Meromorphic extension of the resolvent on complete spaces with asymptotically constant negative curvature
• Intersection homology theory
• Hilbert complexes
• Analytic torsion and R-torsion of Riemannian manifolds
• Analytic torsion and the heat equation
• Analytic surgery and analytic torsion
• On the domain of Dirac and Laplace type operators on stratified spaces
• Analytic torsion and R-torsion of Witt representations on manifolds with cusps
• Analytic surgery and the eta invariant
• Analytic surgery and the accumulation of eigenvalues
• On the torsion in the cohomology of arithmetic hyperbolic 3-manifolds
• Hodge theory on Cheeger spaces
• Correction to the article ``The heat kernel on an asymptotically conic manifold
• Extremal metrics on blowups along submanifolds
• Analytic, Reidemeister and homological torsion for congruence three-manifolds
• Asymptotics of analytic torsion for hyperbolic three-manifolds
• A renormalized index theorem for some complete asymptotically regular metrics: the Gauss-Bonnet theorem
• Exponential growth of homological torsion for towers of congruence subgroups of Bianchi groups
• R-torsion and the Laplacian on Riemannian manifolds
• Cheeger-Müller theorem on manifolds with cusps
• The signature package on Witt spaces
• The Asymptotics of the Ray-Singer Analytic Torsion of Hyperbolic 3-manifolds
• ASYMPTOTIC TORSION AND TOEPLITZ OPERATORS
• Boundary Value Problems for Elliptic Wedge Operators: The First-Order Case
• Low Energy Resolvent for the Hodge Laplacian: Applications to Riesz Transform, Sobolev Estimates, and Analytic Torsion
• Kernels of Trace Class Operators
• Elliptic theory of differential edge operators I
• Adjoints of elliptic cone operators
• Pseudodifferential analysis on conformally compact spaces
• The asymptotic growth of torsion homology for arithmetic groups
• Resolvent, heat kernel, and torsion under degeneration to fibered cusps
• A Callias-Type Index Theorem with Degenerate Potentials
• Analytic Torsion and R-Torsion for Unimodular Representations
• A GLUING FORMULA FOR THE ANALYTIC TORSION ON HYPERBOLIC MANIFOLDS WITH CUSPS
• Über die Torsion einer Überdeckung.
• An extension of a theorem by Cheeger and Müller to spaces with isolated conical singularities

This page was built for publication: A Cheeger-Müller theorem for manifolds with wedge singularities