JournalscmhVol. 94, No. 3pp. 459–531

Asymptotics of analytic torsion for hyperbolic three-manifolds

  • Jean Raimbault

    Université de Toulouse, France
Asymptotics of analytic torsion for hyperbolic three-manifolds cover

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Abstract

We prove that for certain sequences of hyperbolic three-manifolds with cusps which converge to hyperbolic three-space in a weak (“Benjamini–Schramm”) sense and certain coefficient systems the regularised analytic torsion approximates the L2L^2-torsion of the universal cover.

We also prove an asymptotic equality between the former and the Reidemeister torsion of the truncated manifolds.

Cite this article

Jean Raimbault, Asymptotics of analytic torsion for hyperbolic three-manifolds. Comment. Math. Helv. 94 (2019), no. 3, pp. 459–531

DOI 10.4171/CMH/466