CANNON–THURSTON MAPS DO NOT ALWAYS EXIST
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Publication:2849815
DOI10.1017/FMS.2013.4zbMath1276.20054arXiv1206.0505OpenAlexW2964313702MaRDI QIDQ2849815
Publication date: 19 September 2013
Published in: Forum of Mathematics, Sigma (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1206.0505
Gromov boundariesfinitely generated groupsCayley graphshyperbolic groupshyperbolic subgroupsCannon-Thurston maps
Generators, relations, and presentations of groups (20F05) General geometric structures on low-dimensional manifolds (57M50) Hyperbolic groups and nonpositively curved groups (20F67)
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A universal Cannon-Thurston map and the surviving curve complex ⋮ Cannon-Thurston maps for CAT(0) groups with isolated flats ⋮ Coronas for properly combable spaces ⋮ Cannon-Thurston maps for hyperbolic free group extensions ⋮ Poincaré profiles of groups and spaces ⋮ Cannon-Thurston fibers for iwip automorphisms of FN ⋮ Inducing maps between Gromov boundaries ⋮ Conical limit points and the Cannon-Thurston map ⋮ Geometric group theory and hyperbolic geometry: recent contributions from Indian mathematicians
Cites Work
- Bouts des variétés hyperboliques de dimension 3. (Ends of hyperbolic 3-dimensional manifolds)
- Cannon-Thurston maps for trees of hyperbolic metric spaces
- Group completions and limit sets of Kleinian groups
- Ending laminations for hyperbolic group extensions
- Cannon-Thurston maps for hyperbolic group extensions
- Combinatorial group theory.
- Cannon-Thurston maps for surface groups
- Super-exponential distortion of subgroups of \(\text{CAT}(-1)\) groups.
- Group invariant Peano curves
- Subgroups of small Cancellation Groups
- Three dimensional manifolds, Kleinian groups and hyperbolic geometry
- Incoherent negatively curved groups
- THE COMBINATION THEOREM AND QUASICONVEXITY
- Local connectivity, Kleinian groups and geodesics on the blowup of the torus.
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