Deformation spaces of Kleinian surface groups are not locally connected

DOI10.2140/gt.2012.16.1247zbMath1257.57023arXiv1003.4541OpenAlexW2103641197MaRDI QIDQ441115

Aaron D. Magid

Publication date: 20 August 2012

Published in: Geometry \& Topology (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1003.4541

zbMATH Keywords

deformationhyperbolicKleinian groupslocally connecteddrillinghyperbolic Dehn filling

Mathematics Subject Classification ID

General geometric structures on low-dimensional manifolds (57M50) Kleinian groups (aspects of compact Riemann surfaces and uniformization) (30F40)

Related Items

Dehn filling and the geometry of unknotting tunnels ⋮ Convergence properties of end invariants ⋮ Effective bilipschitz bounds on drilling and filling ⋮ Local topology in deformation spaces of hyperbolic 3-manifolds ⋮ Deformation spaces of Kleinian surface groups are not locally connected ⋮ Divergence, exotic convergence and self-bumping in quasi-Fuchsian spaces ⋮ Self-bumpings on Kleinian once-punctured torus groups ⋮ Ubiquitous quasi-Fuchsian surfaces in cusped hyperbolic 3-manifolds ⋮ c-Gluing construction and slices of quasi-Fuchsian space ⋮ Linear slices close to a Maskit slice ⋮ The Double Limit Theorem and Its Legacy ⋮ Local topology in deformation spaces of hyperbolic 3-manifolds. II. ⋮ Geometry of Kleinian groups and its applications

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