English

Separable-stable representations of a compression body

Geometric Topology 2013-11-07 v1

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.

Keywords

Cite

@article{arxiv.1311.1255,
  title  = {Separable-stable representations of a compression body},
  author = {Inkang Kim and Michelle Lee},
  journal= {arXiv preprint arXiv:1311.1255},
  year   = {2013}
}

Comments

20 pages, 1 figure

R2 v1 2026-06-22T02:01:55.484Z