English

On the asymptotics of the analytic torsion for compact hyperbolic orbifolds

Spectral Theory 2015-11-20 v2 Differential Geometry

Abstract

We study the analytic torsion of odd-dimensional hyperbolic orbifolds Γ\H2n+1\Gamma \backslash \mathbb{H}^{2n+1}, depending on a representation of Γ\Gamma. Our main goal is to understand the asymptotic behavior of the analytic torsion with respect to sequences of representations associated to rays of highest weights.

Keywords

Cite

@article{arxiv.1511.04281,
  title  = {On the asymptotics of the analytic torsion for compact hyperbolic orbifolds},
  author = {Ksenia Fedosova},
  journal= {arXiv preprint arXiv:1511.04281},
  year   = {2015}
}