## Algebraic & Geometric Topology

### Nonarithmetic hyperbolic manifolds and trace rings

Olivier Mila

#### 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.

#### Article information

Source
Algebr. Geom. Topol., Volume 18, Number 7 (2018), 4359-4373.

Dates
Revised: 23 July 2018
Accepted: 3 August 2018
First available in Project Euclid: 18 December 2018

https://projecteuclid.org/euclid.agt/1545102074

Digital Object Identifier
doi:10.2140/agt.2018.18.4359

Mathematical Reviews number (MathSciNet)
MR3892248

Zentralblatt MATH identifier
07006394

#### Citation

Mila, Olivier. Nonarithmetic hyperbolic manifolds and trace rings. Algebr. Geom. Topol. 18 (2018), no. 7, 4359--4373. doi:10.2140/agt.2018.18.4359. https://projecteuclid.org/euclid.agt/1545102074

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