Nonarithmetic hyperbolic manifolds and trace rings

Mila, Olivier

doi:10.2140/agt.2018.18.4359

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Nonarithmetic hyperbolic manifolds and trace rings

Olivier Mila

Algebraic & Geometric Topology 18 (2018) 4359–4373

DOI: 10.2140/agt.2018.18.4359

Abstract

We give a sufficient condition on the hyperplanes used in the Belolipetsky–Thomson inbreeding construction to obtain nonarithmetic manifolds. We explicitly construct infinitely many examples of such manifolds that are pairwise noncommensurable and estimate their volume.

Keywords

hyperbolic manifold, nonarithmetic lattice, trace rings

Mathematical Subject Classification 2010

Primary: 53C23, 22E40

Secondary: 57M50, 51M25, 20G30

References

Publication

Received: 1 June 2018

Revised: 23 July 2018

Accepted: 3 August 2018

Published: 11 December 2018

Authors

Olivier Mila
Mathematisches Institut Universität Bern Bern Switzerland

Volume 18, issue 7 (2018)