CANNON–THURSTON MAPS FOR KLEINIAN GROUPS

DOI10.1017/fmp.2017.2zbMath1370.57008arXiv1002.0996OpenAlexW3101107571MaRDI QIDQ5280246

Mahan Mitra

Publication date: 20 July 2017

Published in: Forum of Mathematics, Pi (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1002.0996

zbMATH Keywords

Kleinian groupCannon-Thurston mapdegenerate group

Mathematics Subject Classification ID

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

Related Items (18)

Separable-stable representations of a compression body ⋮ Combination Theorems in Groups, Geometry and Dynamics ⋮ A universal Cannon-Thurston map and the surviving curve complex ⋮ Limits of limit sets. I ⋮ Combining rational maps and Kleinian groups via orbit equivalence ⋮ On discreteness of commensurators ⋮ The Sullivan dictionary and Bowen-Series maps ⋮ Matings and the other side of the dictionary ⋮ On dynamics of \(\mathrm{Out}(F_n)\) on \(\mathrm{PSL}_2(\mathbb C)\) characters ⋮ Ending laminations and Cannon-Thurston maps; with an appendix by Shubhabrata Das and Mahan Mj ⋮ Lectures on Kleinian Groups ⋮ Algebraic ending laminations and quasiconvexity ⋮ Primitive stable representations of geometrically infinite handlebody hyperbolic 3-manifolds ⋮ Conical limit points and the Cannon-Thurston map ⋮ Dynamics on the PSL(2,\(\mathbb{C}\))-character variety of a compression body ⋮ A Glimpse into Thurston’s Work ⋮ Discontinuous motions of limit sets ⋮ Geometry of Kleinian groups and its applications

Cites Work

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• Group completions and limit sets of Kleinian groups
• Actions of the homeotopy group of an orientable 3-dimensional handlebody
• Stable Teichmüller quasigeodesics and ending laminations
• Dynamics on Thurston's sphere of projective measured foliations
• Tameness on the boundary and Ahlfors' measure conjecture
• On the density of geometrically finite Kleinian groups.
• On dynamics of \(\mathrm{Out}(F_n)\) on \(\mathrm{PSL}_2(\mathbb C)\) characters
• Primitive stable representations of free Kleinian groups
• Relative hyperbolicity, trees of spaces and Cannon-Thurston maps
• Cannon-Thurston maps for surface groups
• Ending laminations and Cannon-Thurston maps; with an appendix by Shubhabrata Das and Mahan Mj
• Group invariant Peano curves
• Projective structures with degenerate holonomy and the Bers density conjecture
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• RELATIVELY HYPERBOLIC GROUPS
• Shrinkwrapping and the taming of hyperbolic 3-manifolds
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• Geometric inflexibility and 3-manifolds that fiber over the circle
• Relatively hyperbolic groups
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