Equivalence of geometric and combinatorial Dehn functions.
Erratum to: Homology stability for outer automorphism groups of free groups.
Estimations de dimensions de Minkowski dans l’espace des groupes marqués
Dans cet article, on montre que l’espace des groupes marqués est un sous-espace fermé d’un ensemble de Cantor dont la dimension de Hausdorff est infinie. On prouve que la dimension de Minkowski de cet espace est infinie en exhibant des sous-ensembles de groupes marqués à petite simplification dont les dimensions de Minkowski sont arbitrairement grandes. On donne une estimation des dimensions de Minkowski de sous-espaces de groupes à un relateur. On démontre enfin que les dimensions de Minkowski...
Exactitude à gauche du foncteur de cohomologie bornée réelle
Flats in 3-manifolds
Flows and joins of metric spaces.
Foldable cubical complexes of nonpositive curvature.
Formal language theory and the geometry of 3-manifolds.
Fractal representation of the attractive lamination of an automorphism of the free group
In this paper, we extend to automorphisms of free groups some results and constructions that classically hold for morphisms of the free monoid, i.e., the so-called substitutions. A geometric representation of the attractive lamination of a class of automorphisms of the free group (irreducible with irreducible powers (iwip) automorphisms) is given in the case where the dilation coefficient of the automorphism is a unit Pisot number. The shift map associated with the attractive symbolic lamination...
Free group automorphisms, invariant orderings and topological applications.
Geometric subgroups of surface braid groups
Let be a surface, let be a subsurface, and let be two positive integers. The inclusion of in gives rise to a homomorphism from the braid group with strings on to the braid group with strings on . We first determine necessary and sufficient conditions that this homomorphism is injective, and we characterize the commensurator, the normalizer and the centralizer of in . Then we calculate the commensurator, the normalizer and the centralizer of in for large surface braid...
Geometry of pseudocharacters.
Group negative curvature for 3-manifolds with genuine laminations.
Groupes de Garside
Groups acting on cube complexes.
Groups generated by positive multi-twists and the fake lantern problem.
Group-theoretic conditions under which closed aspherical manifolds are covered by Euclidean space
Hass, Rubinstein, and Scott showed that every closed aspherical (irreducible) 3-manifold whose fundamental group contains the fundamental group of a closed aspherical surface, is covered by Euclidean space. This theorem does not generalize to higher dimensions. However, we provide geometric tools with which variations of this theorem can be proved in all dimensions.
Homology and derived series of groups.
Homology stability for outer automorphism groups of free groups.
Hyperbolic groups with low-dimensional boundary