The space of marked hyperbolic 3-manifold homotopy equivalent to a compact 3-manifold with boundary sits inside the -character variety of . We study the dynamics of the action of on both and . The nature of the dynamics reflects the topology of .
The quotient may naturally be thought of as the moduli space of unmarked hyperbolic 3-manifolds homotopy equivalent to and its topology reflects the dynamics of the action.
Cite this article
Richard D. Canary, Peter A. Storm, Moduli spaces of hyperbolic 3-manifolds and dynamics on character varieties. Comment. Math. Helv. 88 (2013), no. 1, pp. 221–251