scholarly journals The analytic torsion and its asymptotic behaviour for sequences of hyperbolic manifolds of finite volume

2014 ◽  
Vol 267 (8) ◽  
pp. 2731-2786 ◽  
Author(s):  
Werner Müller ◽  
Jonathan Pfaff
Keyword(s):  
Asymptotic Behaviour ◽  
Finite Volume ◽  
Hyperbolic Manifolds ◽  
Analytic Torsion

scholarly journals Analytic torsion of complete hyperbolic manifolds of finite volume

2012 ◽  
Vol 263 (9) ◽  
pp. 2615-2675 ◽  
Author(s):  
Werner Müller ◽  
Jonathan Pfaff
Keyword(s):  
Finite Volume ◽  
Hyperbolic Manifolds ◽  
Analytic Torsion

scholarly journals A GLUING FORMULA FOR THE ANALYTIC TORSION ON HYPERBOLIC MANIFOLDS WITH CUSPS

2015 ◽  
Vol 16 (4) ◽  
pp. 673-743 ◽  
Author(s):  
Jonathan Pfaff
Keyword(s):  
Asymptotic Behaviour ◽  
Eisenstein Series ◽  
Hyperbolic Manifold ◽  
Hyperbolic Manifolds ◽  
Analytic Torsion ◽  
Arithmetic Groups ◽  
Reidemeister Torsion ◽  
Cohomology Of Arithmetic Groups ◽  
Gluing Formula

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 the manifold using bases of cohomology classes defined via Eisenstein series by the method of Harder. In the main result of this paper we relate this combinatorial torsion to the regularized analytic torsion. Together with results on the asymptotic behaviour of the regularized analytic torsion, established previously, this should have applications to study the growth of torsion in the cohomology of arithmetic groups. Our main result is established via a gluing formula, and here our approach is heavily inspired by a recent paper of Lesch.

scholarly journals Anomalies and analytic torsion on hyperbolic manifolds

1999 ◽  
Vol 40 (8) ◽  
pp. 4119-4133
Author(s):  
A. A. Bytsenko ◽  
A. E. Gonçalves ◽  
M. Simões ◽  
F. L. Williams
Keyword(s):  
Hyperbolic Manifolds ◽  
Analytic Torsion

The asymptotic behaviour of simple kinematic waves of finite volume

1983 ◽  
Vol 387 (1793) ◽  
pp. 459-467 ◽  
Keyword(s):  
Asymptotic Behaviour ◽  
Finite Volume ◽  
Volume Of Fluid ◽  
One Dimensional ◽  
Kinematic Waves ◽  
New System

We have defined simple kinematic waves in order to model the asymptotic behaviour of a finite volume of fluid confined to a one-dimensional channel. The assumption of a finite volume of fluid yields a new system of asymptotics, whose conditions of validity are derived.

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