Length functions of right-angled Artin groups

Mon, 06/02/2012
13:00
Ruth Charney (Brandeis) Topology Seminar Add to calendar L3
Morgan and Culler proved in the 1980’s that a minimal action of a free group on a tree is completely determined by its length function. This theorem has been of fundamental importance in the study of automorphisms of free groups. In particular, it gives rise to a compactification of Culler-Vogtmann's Outer Space. We prove a 2-dimensional analogue of this theorem for right-angled Artin groups acting on CAT(0) rectangle complexes. (Joint work with M. Margolis)