18 citations · 38 across the 9 of their papers we have counts for
10 papers
On the torsion in symmetric powers on congruence subgroups of Bianchi groups
Jonathan Pfaff, Jean Raimbault
In this paper we prove that for a fixed neat principal congruence subgroup of a Bianchi group the order of the torsion part of its second cohomology group with coefficients in an i…
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…
Exponential growth of homological torsion for towers of congruence subgroups of Bianchi groups
Jonathan Pfaff
In this paper we prove that for suitable sequences of congruence subgroups of Bianchi groups, including the standard exhaustive sequences of a congruence subgroup, and even symmetr…
On the growth of torsion in the cohomology of arithmetic groups
Werner Mueller, Jonathan Pfaff
In this paper we consider certain families of arithmetic subgroups of SO^0(p,q) and SL_3(R), respectively. We study the cohomology of such arithmetic groups with coefficients in ar…
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…