Olivier Mila

activity

20152021

most citedNonarithmetic hyperbolic manifolds and trace rings

5 citations · 5 across the 3 of their papers we have counts for

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4 papers · 1 filter

math.GT2020

Non-commensurable hyperbolic manifolds with the same trace ring

Olivier Mila

We prove that there are infinitely many pairwise non-commensurable hyperbolic $n$ -manifolds that have the same ambient group and trace ring, for any $n \geq 3$ . The manifolds can b…

math.GT2019

The trace field of hyperbolic gluings

Olivier Mila

We determine the adjoint trace field of gluings of general hyperbolic manifolds. This provides a new method to prove the nonarithmeticity of gluings, which can be applied to the cl…

math.GT2018

Hyperbolic manifolds and pseudo-arithmeticity

Vincent Emery, Olivier Mila

We introduce and motivate a notion of pseudo-arithmeticity, which possibly applies to all lattices in $PO (n, 1)$ with $n > 3$ . We further show that under an additional assump…

math.GT2017★ 5 cited

Nonarithmetic hyperbolic manifolds and trace rings

Olivier Mila

We give a sufficient condition on the hyperplanes used in the inbreeding construction of Belolipetsky-Thomson to obtain nonarithmetic manifolds. We construct explicitly infinitely…