18 citations · 38 across the 9 of their papers we have counts for
6 papers · 1 filter
A gluing formula for the analytic torsion on hyperbolic manifolds with cusps
Jonathan Pfaff
For an odd-dimensional oriented hyperbolic manifold with cusps and strongly acyclic coefficient systems we define the Reidemeister torsion of the Borel-Serre compactification of th…
The analytic torsion and its asymptotic behaviour for sequences of hyperbolic manifolds of finite volume
Werner Mueller, Jonathan Pfaff
In this paper we study the regularized analytic torsion of finite volume hyperbolic manifolds. We consider sequences of coverings of a fixed hyperbolic orbifold . Our ma…
Analytic torsion versus Reidemeister torsion on hyperbolic 3-manifolds with cusps
Jonathan Pfaff
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 standar…
Analytic torsion and L^2-torsion of compact locally symmetric manifolds
Werner Mueller, Jonathan Pfaff
In this paper we study the analytic torsion and the -torsion of compact locally symmetric manifolds. We consider the analytic torsion with respect to representations of the fu…
Analytic torsion of complete hyperbolic manifolds of finite volume
Werner Mueller, Jonathan Pfaff
In this paper we define the analytic torsion for a complete oriented hyperbolic manifold of finite volume. It depends on a representation of the fundamental group. For manifolds of…
The asymptotics of the Ray-Singer analytic torsion for compact hyperbolic manifolds
Werner Mueller, Jonathan Pfaff
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 restri…