The asymptotics of the Ray-Singer analytic torsion for compact hyperbolic manifolds

Abstract

In this paper we study the asymptotic behavior of the analytic torsion for compact, oriented hyperbolic manifolds with respect to certain rays of representations obtained by restriction of irreducible representations of the group of isometries of the hyperbolic space

31 pages

References in corpus (2)

• On the torsion in the cohomology of arithmetic hyperbolic 3-manifolds
• The asymptotics of the Ray-Singer analytic torsion of hyperbolic 3-manifolds

Cited by in corpus (3)

• On the asymptotics of the analytic torsion for compact hyperbolic orbifolds
• Analytic torsion versus Reidemeister torsion on hyperbolic 3-manifolds with cusps
• Analytic torsion of finite volume hyperbolic orbifolds