Non-realizability and ending laminations: proof of the density conjecture

DOI10.1007/s11511-012-0088-0zbMath1258.57010OpenAlexW1978872966WikidataQ61987740 ScholiaQ61987740MaRDI QIDQ1932331

Juan Souto, Hossein Namazi

Publication date: 17 January 2013

Published in: Acta Mathematica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11511-012-0088-0

zbMATH Keywords

Kleinian groupending laminationdensity conjecture

Mathematics Subject Classification ID

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

Related Items (33)

Convergence of freely decomposable Kleinian groups ⋮ Bounded cohomology of finitely generated Kleinian groups ⋮ Subgroups of mapping class groups related to Heegaard splittings and bridge decompositions ⋮ Effective drilling and filling of tame hyperbolic 3-manifolds ⋮ Small eigenvalues of random 3-manifolds ⋮ Effective bilipschitz bounds on drilling and filling ⋮ Infinitesimal rigidity for cubulated manifolds ⋮ QUASI-ISOMETRIC EMBEDDINGS INAPPROXIMABLE BY ANOSOV REPRESENTATIONS ⋮ Local topology in deformation spaces of hyperbolic 3-manifolds ⋮ Deformation spaces of Kleinian surface groups are not locally connected ⋮ Hausdorff dimension of non-conical limit sets ⋮ The classification of Kleinian surface groups. II: The Ending lamination conjecture ⋮ Divergence, exotic convergence and self-bumping in quasi-Fuchsian spaces ⋮ Primitive stable closed hyperbolic 3-manifolds ⋮ Lectures on Kleinian Groups ⋮ Cusp shape and tunnel number ⋮ Small optimal Margulis numbers force upper volume bounds ⋮ Realising end invariants by limits of minimally parabolic, geometrically finite groups ⋮ Bounds on exceptional Dehn filling. II ⋮ Conformal dimension and canonical splittings of hyperbolic groups ⋮ Dynamics on the PSL(2,\(\mathbb{C}\))-character variety of a compression body ⋮ Bounded combinatorics and uniform models for hyperbolic 3-manifolds ⋮ A Glimpse into Thurston’s Work ⋮ The Double Limit Theorem and Its Legacy ⋮ Teichmüller Theory, Thurston Theory, Extremal Length Geometry and Complex Analysis ⋮ Effective distance between nested Margulis tubes ⋮ Local topology in deformation spaces of hyperbolic 3-manifolds. II. ⋮ Constructing geometrically infinite groups on boundaries of deformation spaces ⋮ Cross ratio coordinates for the deformation spaces of a marked Möbius group ⋮ Hyperbolic 4-manifolds with perfect circle-valued Morse functions ⋮ Dynamics on the PSL(2, \(\mathbb C\))-character variety of a twisted \(I\)-bundle ⋮ Geometry of Kleinian groups and its applications ⋮ Thurston maps and asymptotic upper curvature

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