4 papers · 1 filter
Subspace stabilisers in hyperbolic lattices
Mikhail Belolipetsky, Nikolay Bogachev, Alexander Kolpakov +1
This paper shows that immersed totally geodesic -dimensional suborbifolds of -dimensional arithmetic hyperbolic orbifolds correspond to finite subgroups of the commensurator…
On quasi-arithmeticity of hyperbolic gluings
Nikolay Bogachev, Dmitry Guschin, Andrei Vesnin
We study a more general version of the gluings of hyperbolic orbifolds in the spirit of Gromov and Piatetski-Shapiro, where the gluing pieces, called the building blocks, are no lo…
Quasi-arithmetic hyperbolic Coxeter prisms
Nikolay Bogachev, Khusrav Yorov
In 1974, Kaplinskaja classified all simplicial straight hyperbolic Coxeter prisms. In this paper, we determine precisely which of these prisms are properly quasi-arithmetic or arit…
Kleinian sphere packings, reflection groups, and arithmeticity
Nikolay Bogachev, Alexander Kolpakov, Alex Kontorovich
In this paper we study crystallographic sphere packings and Kleinian sphere packings, introduced first by Kontorovich and Nakamura in 2017 and then studied further by Kapovich and…