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20072026
most citedOn the torsion in the cohomology of arithmetic hyperbolic 3-manifolds

42 citations · 135 across the 14 of their papers we have counts for

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5 papers · 1 filter

math.SP2015★ 2 cited

On the analytic torsion of hyperbolic manifolds of finite volume

Werner Mueller

In this paper we study the analytic torsion for a complete oriented hyperbolic manifold of finite volume. This requires the definition of a regularized trace of heat operators. We…

math.SP2013★ 1 cited

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…

math.SP2012★ 2 cited

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…

math.SP2010★ 1 cited

The Metric Anomaly of Analytic Torsion on Manifolds with Conical Singularities

Werner Mueller, Boris Vertman

In this paper we study the analytic torsion of an odd-dimensional manifold with isolated conical singularities. First we show that the analytic torsion is invariant under deformati…

math.SP2010★ 17 cited

The asymptotics of the Ray-Singer analytic torsion of hyperbolic 3-manifolds

Werner Mueller

In this paper we consider the analytic torsion of a closed hyperbolic 3-manifold associated with the m-th symmetric power of the standard representation of SL(2,C) and we study its…