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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…
The Moduli Space of Marked Generalized Cusps in Real Projective Manifolds
Samuel A. Ballas, Daryl Cooper, Arielle Leitner
In this paper, a generalized cusp is a properly convex manifold with strictly convex boundary that is diffeomorphic to where is a closed Euclidean manifo…
Local Limits of Connected Subgroups of
Nir Lazarovich, Arielle Leitner
In this paper we describe the local limits under conjugation of all closed connected subgroups of in the Chabauty topology.
Almost-Regular Dessins on a Sphere and Torus
Joachim König, Arielle Leitner, Danny Neftin
The Hurwitz problem asks which ramification data are realizable, that is appear as the ramification type of a covering. We use dessins d'enfant to show that families of genus 1 reg…