Nonarithmetic hyperbolic manifolds and trace rings

Olivier Mila

doi:10.2140/agt.2018.18.4359

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Home > Journals > Algebr. Geom. Topol. > Volume 18 > Issue 7 > Article

2018 Nonarithmetic hyperbolic manifolds and trace rings

Olivier Mila

Algebr. Geom. Topol. 18(7): 4359-4373 (2018). DOI: 10.2140/agt.2018.18.4359

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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.

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Olivier Mila. "Nonarithmetic hyperbolic manifolds and trace rings." Algebr. Geom. Topol. 18 (7) 4359 - 4373, 2018. https://doi.org/10.2140/agt.2018.18.4359