Abstract
We prove that the deformation space of marked hyperbolic –manifolds homotopy equivalent to a fixed compact –manifold with incompressible boundary is locally connected at minimally parabolic points. Moreover, spaces of Kleinian surface groups are locally connected at quasiconformally rigid points. Similar results are obtained for deformation spaces of acylindrical –manifolds and Bers slices.
Citation
Jeffrey F Brock. Kenneth W Bromberg. Richard D Canary. Yair N Minsky. "Local topology in deformation spaces of hyperbolic $3$–manifolds." Geom. Topol. 15 (2) 1169 - 1224, 2011. https://doi.org/10.2140/gt.2011.15.1169
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