Separable-stable representations of a compression body

Abstract

Let M be a hyperbolizable, nontrivial compression body without toroidal boundary components. In this paper, we characterize which discrete and faithful representations of the fundamental group of M into PSL(2,C) are separable-stable. The set of separable-stable representations forms a domain of discontinuity for the action of the outer automorphism group of the fundamental group of M on the PSL(2,C)-character variety of M.

20 pages, 1 figure

References in corpus (2)

• Dynamics on character varieties: a survey
• Moduli spaces of hyperbolic 3-manifolds and dynamics on character varieties