Extensions of holomorphic motions
Function groups in Kleinian groups.
Geometric finiteness and uniqueness for Kleinian groups with circle packing limit sets.
Geometric intersection numbers on a five-punctured sphere.
Group Completions and Limit Sets of Kleinian Groups.
Hausdorff dimension of quasi-circles
Homomorphisms of constant stretch between Möbius groups.
Hyperbolic cone-manifolds with large cone-angles.
Infinite group actions on spheres.
This paper is mainly intended as a survey of the recent work of a number of authors concerning certain infinite group actions on spheres and to raise some as yet unanswered questions. The main thrust of the current research in this area has been to decide what topological and geometrical properties characterise the infinite conformal or Möbius groups. One should then obtain reasonable topological or geometrical restrictions on a subgroup G of the homeomorphism group of a sphere which will imply...
Intersections in hyperbolic manifolds.
Invariants from triangulations of hyperbolic 3-manifolds.
Jørgensen's inequality for discrete convergence groups.
Kleinian groups (a survey)
Kleinian groups and the complex of curves.
Kleinian groups and the rank problem.
Kleinian groups, the Teichmueller space and Mostow's rigidity theorem.
Lifting di-analytic involutions of compact Klein surfaces to extended-Schottky uniformizations
Let S be a compact Klein surface together with a di-analytic involution κ: S → S. The lowest uniformizations of S are those whose deck group is an extended-Schottky group, that is, an extended Kleinian group whose orientation preserving half is a Schottky group. If S is a bordered compact Klein surface, then it is well known that κ can be lifted with respect to a suitable extended-Schottky uniformization of S. In this paper, we complete the above lifting property by proving that if S is a closed...
Lifting Möbius groups.
Lifting Möbius groups: Addendum.
Limit sets of free convergence groups.