We prove that the deformation space of marked hyperbolic 3-manifolds homotopy equivalent to a fixed compact 3-manifold with incompressible boundary is locally connected at quasiconformally rigid points.
Cite this article
Jeffrey F. Brock, Kenneth Bromberg, Richard D. Canary, Cyril Lecuire, Yair N. Minsky, Local topology in deformation spaces of hyperbolic 3-manifolds II. Groups Geom. Dyn. 13 (2019), no. 3, pp. 767–793DOI 10.4171/GGD/504