Add to ORKGCarrier graphs were first introduced for closed hyperbolic 3-manifolds by White. In this paper, we first generalize this definition to carrier graphs for representations of a rank two free group into the isometry group of hyperbolic three space. Then we prove the existence and the finiteness of minimal carrier graphs for those representations which are discrete, faithful and geometrically finite, and more generally, those that satisfy certain finiteness conditions first introduced by Bowditch
Abstract. For any countable group G whatsoever, there is a complete hyperbolic surface whose isometr...
Abstract. The results of Culler and Shalen for 2, 3 or 4-free hyperbolic 3-manifolds are contingent ...
82 pages, 12 figures. This paper superceds and greatly expands our previous submission math.GT.03090...
Carrier graphs were first introduced for closed hyperbolic 3-manifolds by White. In this paper, we ...
We show that minimal length carrier graphs are not unique, but if M is in a large class of hyperboli...
We show that if X is a minimal length carrier graph in a hyperbolic 3-manifold, M, then if X contain...
AbstractThe isometry group of a compact hyperbolic manifold is known to be finite. We show that ever...
In this thesis we build on the theory concerning the metric geometry of relatively hyperbolic and ma...
In this thesis we build on the theory concerning the metric geometry of relatively hyperbolic and ma...
We introduce two different properties of representations of the free group of rank 2 into the group ...
If M is a manifold with an action of a group G, then the homology group H1(M,Q) is naturally a Q[G]-...
Two construction methods of group representations are presented. The first one proposes a strategy t...
Deux méthodes de construction de représentations de groupes sont présentées. La première propose une...
Deux méthodes de construction de représentations de groupes sont présentées. La première propose une...
Horowitz showed that for every n at least 2, there exist elements w1, ..., wn in the free group F =f...
Abstract. For any countable group G whatsoever, there is a complete hyperbolic surface whose isometr...
Abstract. The results of Culler and Shalen for 2, 3 or 4-free hyperbolic 3-manifolds are contingent ...
82 pages, 12 figures. This paper superceds and greatly expands our previous submission math.GT.03090...
Carrier graphs were first introduced for closed hyperbolic 3-manifolds by White. In this paper, we ...
We show that minimal length carrier graphs are not unique, but if M is in a large class of hyperboli...
We show that if X is a minimal length carrier graph in a hyperbolic 3-manifold, M, then if X contain...
AbstractThe isometry group of a compact hyperbolic manifold is known to be finite. We show that ever...
In this thesis we build on the theory concerning the metric geometry of relatively hyperbolic and ma...
In this thesis we build on the theory concerning the metric geometry of relatively hyperbolic and ma...
We introduce two different properties of representations of the free group of rank 2 into the group ...
If M is a manifold with an action of a group G, then the homology group H1(M,Q) is naturally a Q[G]-...
Two construction methods of group representations are presented. The first one proposes a strategy t...
Deux méthodes de construction de représentations de groupes sont présentées. La première propose une...
Deux méthodes de construction de représentations de groupes sont présentées. La première propose une...
Horowitz showed that for every n at least 2, there exist elements w1, ..., wn in the free group F =f...
Abstract. For any countable group G whatsoever, there is a complete hyperbolic surface whose isometr...
Abstract. The results of Culler and Shalen for 2, 3 or 4-free hyperbolic 3-manifolds are contingent ...
82 pages, 12 figures. This paper superceds and greatly expands our previous submission math.GT.03090...