1 citations · 1 across the 2 of their papers we have counts for
3 papers
math.GT2019★ 1 cited
Kissing numbers of closed hyperbolic manifolds
Maxime Fortier Bourque, Bram Petri
We prove an upper bound for the number of shortest closed geodesics in a closed hyperbolic manifold of any dimension in terms of its volume and systole, generalizing a theorem of P…
math.GT2017
Counting non-commensurable hyperbolic manifolds and a bound on homological torsion
Bram Petri
We prove that the cardinality of the torsion subgroups in homology of a closed hyperbolic manifold of any dimension can be bounded by a doubly exponential function of its diameter.…
math.GT2016
Mapping class group orbits of curves with self-intersections
Patricia Cahn, Federica Fanoni, Bram Petri
We study mapping class group orbits of homotopy and isotopy classes of curves with self-intersections. We exhibit the asymptotics of the number of such orbits of curves with a boun…