14 citations · 65 across the 17 of their papers we have counts for
25 papers
Covers of surfaces
Ian Biringer, Yassin Chandran, Tommaso Cremaschi +4
We study the homeomorphism types of certain covers of (always orientable) surfaces, usually of infinite-type. We show that every surface with non-abelian fundamental group is cover…
Subgroups of bounded rank in hyperbolic 3-manifold groups
Ian Biringer
We prove a finiteness theorem for subgroups of bounded rank in hyperbolic -manifold groups. As a consequence, we show that every bounded rank covering tower of closed hyperbolic…
Homoclinic leaves, Hausdorff limits and homeomorphisms
Ian Biringer, Cyril Lecuire
We show that except for one exceptional case, a lamination on the boundary of a 3-dimensional handlebody H is a Hausdorff limit of meridians if and only if it is commensurable to a…
On the Chabauty space of , I: lattices and grafting
Ian Biringer, Nir Lazarovich, Arielle Leitner
This is the first of two papers on the global topology of the space of all closed subgroups of , equipped with the Chabauty topology…
Convergence of normalized Betti numbers in nonpositive curvature
Miklos Abert, Nicolas Bergeron, Ian Biringer +1
We study the convergence of volume-normalized Betti numbers in Benjamini-Schramm convergent sequences of non-positively curved manifolds with finite volume. In particular, we show…
Thick hyperbolic 3-manifolds with bounded rank
Ian Biringer, Juan Souto
We construct a geometric decomposition for the convex core of a thick hyperbolic 3-manifold M with bounded rank. Corollaries include upper bounds in terms of rank and injectivity r…