On the Chabauty space of ${\text{PSL}}_2(\mathbb{R})$, I: lattices and grafting

Ian Biringer, Nir Lazarovich, Arielle Leitner

This is the first of two papers on the global topology of the space $\text{Sub}(G)$ of all closed subgroups of $G={\text{PSL}}_2(\mathbb{R})$, equipped with the Chabauty topology…