On the asymptotics of the analytic torsion for compact hyperbolic orbifolds

Abstract

We study the analytic torsion of odd-dimensional hyperbolic orbifolds $\Gamma \backslash {\mathbb{H}}^{2n+1}$, depending on a representation of $\Gamma$. 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.

References in corpus (1)

• The twisted Selberg trace formula and the Selberg zeta function for compact orbifolds

Cited by in corpus (4)

• Flat vector bundles and analytic torsion on orbifolds
• The twisted Selberg trace formula and the Selberg zeta function for compact orbifolds
• Hypoelliptic Laplacian and twisted trace formula
• Analytic torsion of finite volume hyperbolic orbifolds