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- W1987530963 abstract "In this paper we study the regularized analytic torsion of finite volume hyperbolic manifolds. We consider sequences of coverings $X_i$ of a fixed hyperbolic orbifold $X_0$. Our main result is that for certain sequences of coverings and strongly acyclic flat bundles, the analytic torsion divided by the index of the covering, converges to the $L^2$-torsion. Our results apply to certain sequences of arithmetic groups, in particular to sequences of principal congruence subgroups of $SO^0(d,1)(Z)$ and to sequences of principal congruence subgroups or Hecke subgroups of Bianchi groups." @default.
- W1987530963 created "2016-06-24" @default.
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- W1987530963 date "2013-07-18" @default.
- W1987530963 modified "2023-09-27" @default.
- W1987530963 title "The analytic torsion and its asymptotic behaviour for sequences of hyperbolic manifolds of finite volume" @default.
- W1987530963 hasPublicationYear "2013" @default.
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