18 citations · 113 across the 24 of their papers we have counts for
4 papers · 2 filters
Local topology in deformation spaces of hyperbolic 3-manifolds
Jeffrey F. Brock, Kenneth W. Bromberg, Richard D. Canary +1
We prove that the deformation space AH(M) of marked hyperbolic 3-manifolds homotopy equivalent to a fixed compact 3-manifold M with incompressible boundary is locally connected at…
Shearing coordinates and convexity of length functions on Teichmueller space
M. Bestvina, K. Bromberg, K. Fujiwara +1
We prove that there are Fenchel-Nielsen coordinates for the Teichmueller space of a finite area hyperbolic surface with respect to which the length functions are convex.
The space of Kleinian punctured torus groups is not locally connected
K. Bromberg
We show that the space of Kleinian punctured torus groups is not locally connected.
Geometric inflexibility and 3-manifolds that fiber over the circle
Jeffrey Brock, Kenneth Bromberg
We prove hyperbolic 3-manifolds are geometrically inflexible: a unit quasiconformal deformation of a Kleinian group extends to an equivariant bi-Lipschitz diffeomorphism between qu…