On the asymptotics of the analytic torsion for compact hyperbolic orbifolds

2015/11/13 by Ksenia Fedosova, Fedosova, Ksenia
Mathematics · #Advanced Algebra and Geometry #Differential Geometry (math.DG) #FOS: Mathematics #Geometric Analysis and Curvature Flows #Geometric and Algebraic Topology #Spectral Theory (math.SP)

paper · pdf · doi:10.48550/arxiv.1511.04281

openalex publication_date 2015/11/13 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We study the analytic torsion of odd-dimensional hyperbolic orbifolds Γ\backslash ℍ²ⁿ⁺¹, depending on a representation of Γ. Our main goal is to understand the asymptotic behavior of the analytic torsion with respect to sequences of representations associated to rays of highest weights.

Citations

• Seeley's Theory of Pseudodifferential Operators on Orbifolds
• The twisted Selberg trace formula and the Selberg zeta function for\n compact orbifolds

Related

• Analytic torsion of finite volume hyperbolic orbifolds
• The asymptotics of the Ray-Singer analytic torsion for compact hyperbolic manifolds
• Analytic torsion of complete hyperbolic manifolds of finite volume
• Analytic torsion and L²-torsion of compact locally symmetric manifolds
• The analytic torsion and its asymptotic behaviour for sequences of\n hyperbolic manifolds of finite volume