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math.GT2025
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…
math.GT2024
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…