Some new behaviour in the deformation theory of Kleinian groups
Abstract
Description
We present examples of hyperbolizable 3-manifolds $M$ with the following property. Let $CC(π_1(M))$ denote the space of convex co-compact representations of $π_1(M)$. We show that for every $K\geq 1$ there exists a representation $ρ$ in $\bar {CC(π_1(M))}$ so that every $K$-quasiconformal deformation of $ρ$ lies in the closure of every component of $CC(π_1(M))$.
The examples $M$ were discovered by Anderson and Canary.
20 pages; 2 figures. To be published in Comm. in Anal and Geom
20 pages; 2 figures. To be published in Comm. in Anal and Geom