Videos

Cocompactly cubulated Artin groups

Presenter
September 29, 2016
Keywords:
  • CAT(0) space
  • negative curvature manifolds
  • Riemannian geometry
  • braid groups
  • dimension of groups
  • generators and relations
MSC:
  • 57M60
  • 57-xx
  • 58-xx
  • 58Dxx
  • 58D05
  • 58D19
  • 20F36
Abstract
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.
Supplementary Materials