Cocompactly cubulated Artin groups
Kasia Jankiewicz (University of California, Santa Cruz)
MSRI: Simons Auditorium
We exhibit a class of Artin groups that are the fundamental groups of non positively curved compact cube complexes. We show that 2-dimensional or 3-generator Artin groups outside this class are not the fundamental groups of NPCCCs, even virtually. In particular, this includes the braid group on 4 strands. This is joint work with Jingyin Huang and Piotr Przytycki. Similar results have been obtained by Thomas Haettel.