Asymptotics of analytic torsion for hyperbolic three-manifolds

DOI10.4171/CMH/466zbMath1433.58028arXiv1212.3161OpenAlexW2976200345MaRDI QIDQ2337229

Jean Raimbault

Publication date: 19 November 2019

Published in: Commentarii Mathematici Helvetici (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1212.3161

zbMATH Keywords

Selberg trace formulaanalytic torsionhyperbolic manifolds with cusps

Mathematics Subject Classification ID

Covering spaces and low-dimensional topology (57M10) Discrete subgroups of Lie groups (22E40) Determinants and determinant bundles, analytic torsion (58J52) Spectral theory; trace formulas (e.g., that of Selberg) (11F72) Perturbations of PDEs on manifolds; asymptotics (58J37) Cohomology of arithmetic groups (11F75)

Related Items (9)

A Cheeger-Müller theorem for manifolds with wedge singularities ⋮ A GLUING FORMULA FOR THE ANALYTIC TORSION ON HYPERBOLIC MANIFOLDS WITH CUSPS ⋮ Exponential growth of homological torsion for towers of congruence subgroups of Bianchi groups ⋮ Hecke stability and weight 1 modular forms ⋮ Exponential growth of torsion in the cohomology of arithmetic hyperbolic manifolds ⋮ Analytic, Reidemeister and homological torsion for congruence three-manifolds ⋮ APPROXIMATION OF -ANALYTIC TORSION FOR ARITHMETIC QUOTIENTS OF THE SYMMETRIC SPACE ⋮ Resolvent, heat kernel, and torsion under degeneration to fibered cusps ⋮ Analytic torsion for arithmetic locally symmetric manifolds and approximation of \(L^2\)-torsion

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