Groups, Geometry, and Dynamics


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Volume 9, Issue 1, 2015, pp. 149–185
DOI: 10.4171/GGD/309

Published online: 2015-04-28

Dynamics on PSL(2, $\mathbb C$)-character varieties: 3-manifolds with toroidal boundary components

Richard D. Canary[1] and Aaron D. Magid[2]

(1) University of Michigan, Ann Arbor, USA
(2) University of Maryland, College Park, USA

Let $M$ be a compact, orientable, hyperbolizable 3-manifold with incompressible boundary which is not an interval bundle. We study the dynamics of the action of Out($\pi_1(M$)) on the relative PSL(2, $\mathbb C$)-character variety $X_T (M)$.

Keywords: Hyperbolic 3-manifolds, Kleinian groups, character varieties

Canary Richard, Magid Aaron: Dynamics on PSL(2, $\mathbb C$)-character varieties: 3-manifolds with toroidal boundary components. Groups Geom. Dyn. 9 (2015), 149-185. doi: 10.4171/GGD/309