Geodesic
Nonarithmetic hyperbolic manifolds and trace rings
Mila, Olivier1
1 Mathematisches Institut, Universität Bern, Bern, Switzerland
Algebraic and Geometric Topology, Tome 18 (2018) no. 7, pp. 4359-4373

Voir la notice de l'article provenant de la source Mathematical Sciences Publishers

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.

DOI : 10.2140/agt.2018.18.4359
Classification : 53C23, 22E40, 57M50, 51M25, 20G30
Keywords: hyperbolic manifold, nonarithmetic lattice, trace rings

Mila, Olivier 1

1 Mathematisches Institut, Universität Bern, Bern, Switzerland 
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Mila, Olivier. Nonarithmetic hyperbolic manifolds and trace rings. Algebraic and Geometric Topology, Tome 18 (2018) no. 7, pp. 4359-4373. doi: 10.2140/agt.2018.18.4359

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