Dynamics on the PSL(2, C)-character variety of a twisted I-bundle

作者：Lee Michelle^*

来源：Groups, Geometry, and Dynamics, 2015, 9(1): 187-201.

DOI：10.4171/GGD/310

• Twisted interval bundle
• hyperbolic 3-manifold
• character variety
• outer automorphism group

Let M be a twisted interval bundle over a closed nonorientable hyperbolizable surface. Let X(M) be the PSL(2, C)-character variety of pi(1)(M). We examine the dynamics of the action of Out (pi(1)(M)) on X(M), 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 3-manifolds homotopy equivalent to M. Furthermore, we identify which discrete and faithful representations can lie in a domain of discontinuity for the action of Out (pi(1)(M)) on X(M).

• 出版日期2015