Local topology in deformation spaces of hyperbolic 3-manifolds II

Jeffrey F. Brock; Kenneth Bromberg; Richard D. Canary; Cyril Lecuire; Yair N. Minsky

doi:10.4171/ggd/504

JournalsggdVol. 13, No. 3pp. 767–793

Local topology in deformation spaces of hyperbolic 3-manifolds II

Jeffrey F. Brock
Yale University, New Haven, USA
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Kenneth Bromberg
University of Utah, Salt Lake City, USA
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Richard D. Canary
University of Michigan, Ann Arbor, USA
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Cyril Lecuire
Université Paul Sabatier, Toulouse, France
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Yair N. Minsky
Yale University, New Haven, USA

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Abstract

We prove that the deformation space $A H (M)$ of marked hyperbolic 3-manifolds homotopy equivalent to a fixed compact 3-manifold $M$ 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. 767–793

DOI 10.4171/GGD/504