The Space of Geometric Limits of Abelian Subgroups of PSL2C

Abstract

We describe the topology of the space of all geometric limits of closed abelian subgroups of PSL2C. Main tools and ideas come from the previous paper [BC12].

arXiv comment41 pages, 14 figures

References in corpus (1)

• On dynamics of Out(F_n) on PSL(2,C) characters

Cited by in corpus (6)

• Dynamics of Actions of Automorphisms of Discrete Groups $G$ on Sub${}_G$ and Applications to Lattices in Lie Groups
• Expansive Actions of Automorphisms of Locally Compact Groups $G$ on ${\mathrm{Sub}}_G$
• Distal Actions of Automorphisms of Lie Groups $G$ on $\mathrm{Su}{\mathrm{b}}_{\mathrm{G}}$
• Introduction to Chabauty topology and Pictures of the Chabauty space of C*
• On the Chabauty space of ${\text{PSL}}_2(\mathbb{R})$, I: lattices and grafting
• Non-affine horocycle orbit closures on strata of translation surfaces: new examples