5 papers
Kleinian groups with discrete length spectrum
Richard D. Canary, Christopher J. Leininger
We characterize finitely generated torsion-free Kleinian groups for which the real length spectrum (without multiplicities) is discrete.
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…
Spectral theory, Hausdorff dimension and the topology of hyperbolic 3-manifolds
Richard D. Canary, Yair N. Minsky, Edward C. Taylor
Let M be a compact 3-manifold whose interior admits a complete hyperbolic structure. We let Lambda(M) be the supremum of the bottom eigenvalue of the Laplacian of N, where N varies…
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…