Analytic torsion of finite volume hyperbolic orbifolds

Abstract

In this article we define the analytic torsion of finite volume orbifolds $\Gamma \backslash {\mathbb{H}}^{2n+1}$ and study its asymptotic behavior with respect to certain rays of representations.

References in corpus (4)

• Analytic torsion and R-torsion of Witt representations on manifolds with cusps
• The twisted Selberg trace formula and the Selberg zeta function for compact orbifolds
• On the asymptotics of the analytic torsion for compact hyperbolic orbifolds
• Cheeger-Mueller Theorem on manifolds with cusps