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  • From Riches to Raags: 3-Manifolds, Right-Angled Artin Groups, and Cubical Geometry

From Riches to Raags: 3-Manifolds, Right-Angled Artin Groups, and Cubical Geometry

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Presents an introduction to the geometric group theory associated with nonpositively curved cube complexes. It advocates the use of cube complexes to understand the fundamental groups of hyperbolic 3-manifolds as well as many other infinite groups studied within geometric group theory. The main goal is to outline the proof that a hyperbolic group $G$ with a quasiconvex hierarchy has a finite index subgroup that embeds in a right-angled Artin group.
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