Dynamics on the PSL(2, )-character variety of a twisted -bundle
Michelle Lee
University of Michigan, Ann Arbor, USA
![Dynamics on the PSL(2, $\mathbb C$)-character variety of a twisted $I$-bundle cover](/_next/image?url=https%3A%2F%2Fcontent.ems.press%2Fassets%2Fpublic%2Fimages%2Fserial-issues%2Fcover-ggd-volume-9-issue-1.png&w=3840&q=90)
Abstract
Let be a twisted interval bundle over a closed nonorientable hyperbolizable surface. Let be the PSL(2, )-character variety of . We examine the dynamics of the action of Out on and in particular, we find an open set on which the action is properly discontinuous that is strictly larger than the interior of the deformation space of marked hyperbolic -manifolds homotopy equivalent to . Furthermore, we identify which discrete and faithful representations can lie in a domain of discontinuity for the action of Out on .
Cite this article
Michelle Lee, Dynamics on the PSL(2, )-character variety of a twisted -bundle. Groups Geom. Dyn. 9 (2015), no. 1, pp. 187–201
DOI 10.4171/GGD/310