Criterion for Cannon's conjecture.

DOI10.1007/s00039-013-0228-5zbMath1276.20051arXiv1205.5747OpenAlexW2152186720WikidataQ122871060 ScholiaQ122871060MaRDI QIDQ2376323

Vladimir Marković

Publication date: 21 June 2013

Published in: Geometric and Functional Analysis. GAFA (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1205.5747

zbMATH Keywords

fundamental groupshyperbolic groupsKleinian groupshyperbolic manifoldssurface subgroupshyperbolization theorematoroidal 3-manifoldsCannon conjecture

Mathematics Subject Classification ID

Geometric group theory (20F65) Fuchsian groups and their generalizations (group-theoretic aspects) (20H10) General geometric structures on low-dimensional manifolds (57M50) Fundamental group, presentations, free differential calculus (57M05) Hyperbolic groups and nonpositively curved groups (20F67)

Related Items

Essential surfaces in graph pairs ⋮ Detecting sphere boundaries of hyperbolic groups ⋮ Surface‐like boundaries of hyperbolic groups ⋮ Characterizing candidates for Cannon's conjecture from geometric measure theory ⋮ Specializing cubulated relatively hyperbolic groups ⋮ Thurston's vision and the virtual fibering theorem for 3-manifolds ⋮ Hyperbolic groups with planar boundaries ⋮ Fuchsian groups, circularly ordered groups and dense invariant laminations on the circle ⋮ Relative cubulations and groups with a 2-sphere boundary ⋮ Around 3-manifold groups

Cites Work

• Unnamed Item
• Unnamed Item
• Immersing almost geodesic surfaces in a closed hyperbolic three manifold
• Residual finiteness, QCERF and fillings of hyperbolic groups.
• Packing subgroups in relatively hyperbolic groups.
• Research announcement: The structure of groups with a quasiconvex hierarchy.
• Finite groups of mapping classes of surfaces
• Convergence groups and Seifert fibered 3-manifolds
• Homotopy hyperbolic 3-manifolds are hyperbolic
• The virtual Haken conjecture: Experiments and examples
• A boundary criterion for cubulation
• Hyperbolic surface subgroups of one-ended doubles of free groups
• Topological characterization of the Sierpiński curve
• On surface subgroups of doubles of free groups
• Homeomorphic conjugates of Fuchsian groups.
• The Boundary of Negatively Curved Groups
• Widths of Subgroups
• Ends of Group Pairs and Non-Positively Curved Cube Complexes
• A positional characterization of the (n-1)-dimensional Sierpiński curve in $S^n$ (η ≠ 4)
• Compact Submanifolds of 3-Manifolds
• Hyperbolic manifolds and discrete groups
• Convergence groups are Fuchsian groups
• A topology for free groups and related groups