Cocompactly cubulated 2-dimensional Artin groups

Abstract

We give a necessary and sufficient condition for a 2-dimensional or a three-generator Artin group $A$ to be (virtually) cocompactly cubulated, in terms of the defining graph of $A$.

19 pages, 2 figures

References in corpus (5)

• Hierarchically hyperbolic spaces I: curve complexes for cubical groups
• Cubulating hyperbolic free-by-cyclic groups: the general case
• Top dimensional quasiflats in $CAT(0)$ cube complexes
• Convexity of parabolic subgroups in Artin groups
• The asymptotic rank of metric spaces