Analytic torsion versus Reidemeister torsion on hyperbolic 3-manifolds with cusps

Abstract

For a non-compact hyperbolic 3-manifold with cusps we prove an explicit formula that relates the regularized analytic torsion associated to the even symmetric powers of the standard representation of SL_2(C) to the corresponding Reidemeister torsion. Our proof rests on an expression of the analytic torsion in terms of special values of Ruelle zeta functions as well as on recent work of Pere Menal-Ferrer and Joan Porti.

arXiv comment23 pages

References in corpus (5)

• Higher dimensional Reidemeister torsion invariants for cusped hyperbolic 3-manifolds
• Twisted cohomology for hyperbolic three manifolds
• The asymptotics of the Ray-Singer analytic torsion of hyperbolic 3-manifolds
• The asymptotics of the Ray-Singer analytic torsion for compact hyperbolic manifolds
• Analytic torsion of complete hyperbolic manifolds of finite volume

Cited by in corpus (1)

• A gluing formula for the analytic torsion on hyperbolic manifolds with cusps