Analytic torsion versus Reidemeister torsion on hyperbolic 3-manifolds with cusps
Spectral Theory
2012-06-04 v1 Differential Geometry
Geometric Topology
Abstract
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 standard representation of SL_2(C) to the corresponding Reidemeister torsion. Our proof rests on an expression of the analytic torsion in terms of special values of Ruelle zeta functions as well as on recent work of Pere Menal-Ferrer and Joan Porti.
Keywords
Cite
@article{arxiv.1206.0228,
title = {Analytic torsion versus Reidemeister torsion on hyperbolic 3-manifolds with cusps},
author = {Jonathan Pfaff},
journal= {arXiv preprint arXiv:1206.0228},
year = {2012}
}
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23 pages