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.