3 papers
math.GT2020
Cubulation of some triangle-free Artin groups
Thomas Haettel
We prove that some classes of triangle-free Artin groups act properly on locally finite, finite-dimensional CAT(0) cube complexes. In particular, this provides the first examples o…
math.MG2019
XXL type Artin groups are CAT(0) and acylindrically hyperbolic
Thomas Haettel
We describe a simple locally CAT(0) classifying space for extra extra large type Artin groups (with all labels at least 5). Furthermore, when the Artin group is not dihedral, we de…
math.GR2019
Tangent bundles of hyperbolic spaces and proper affine actions on spaces
Indira Chatterji, François Dahmani, Thomas Haettel +1
We define the notion of a negatively curved tangent bundle of a metric measured space. We prove that, when a group acts on a metric measured space with a negatively curved…