11 citations · 11 across the 3 of their papers we have counts for
5 papers · 1 filter
A simple criterion for non-relative hyperbolicity and one-endedness of groups
James W. Anderson, Javier Aramayona, Kenneth J. Shackleton
We give a combinatorial criterion that implies both the non-strong relative hyperbolicity and the one-endedness of a finitely generated group. We use this to show that many importa…
Commensurability and locally free Kleinian groups
James W. Anderson
We show that there exist infinitely many commensurability classes of finite volume hyperbolic 3-manifolds whose fundamental group contains a subgroup which is locally free but not…
Cores of hyperbolic 3-manifolds and limits of Kleinian groups II
James W. Anderson, Richard D. Canary
Troels Jorgensen conjectured that the algebraic and geometric limits of an algebraically convergent sequence of isomorphic Kleinian groups agree if there are no new parabolics in t…
The visual core of a hyperbolic 3-manifold
James W. Anderson, Richard D. Canary
We introduce the notion of the visual core of a hyperbolic 3-manifold N and explore its basic properties. The visual core can be thought of as a harmonic analysis analogue of the c…
The topology of deformation spaces of Kleinian groups
James W. Anderson, Richard D. Canary, Darryl McCullough
Let M be a compact, hyperbolizable 3-manifold with nonempty incompressible boundary and let AH(π_1(M)) denote the space of (conjugacy classes of) discrete faithful representations…