On the geometry of Outer space
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Publication:5175013
DOI10.1090/S0273-0979-2014-01466-1zbMath1368.20052MaRDI QIDQ5175013
Publication date: 19 February 2015
Published in: Bulletin of the American Mathematical Society (Search for Journal in Brave)
Geometric group theory (20F65) Topological methods in group theory (57M07) Automorphism groups of groups (20F28) Free nonabelian groups (20E05)
Related Items (12)
The topology and geometry of automorphism groups of free groups ⋮ Schottky spaces and universal Mumford curves over \(\mathbb{Z}\) ⋮ Groups acting on hyperbolic spaces -- a survey ⋮ Finite rigid sets in sphere complexes ⋮ Taking the high-edge route of rank-3 outer space ⋮ The primitivity index function for a free group, and untangling closed curves on hyperbolic surfaces.With the appendix by Khalid Bou–Rabee ⋮ An arc graph distance formula for the flip graph ⋮ Characteristic classes of moduli spaces— Riemann surface, graph, homology cobordism ⋮ Quasi‐geodesics in Out(Fn) and their shadows in sub‐factors ⋮ Convexity of balls in outer space ⋮ Tropical curves, graph complexes, and top weight cohomology of ℳ_{ℊ} ⋮ Random outer automorphisms of free groups: Attracting trees and their singularity structures
Cites Work
- Unnamed Item
- The free splitting complex of a free group. I: Hyperbolicity.
- On hyperbolicity of free splitting and free factor complexes.
- On the geometry of the edge splitting complex.
- Metric properties of outer space.
- Strongly contracting geodesics in outer space.
- Asymmetry of outer space.
- Constructing group actions on quasi-trees and applications to mapping class groups
- A hyperbolic \(\text{Out}(F_n)\)-complex.
- Moduli of graphs and automorphisms of free groups
- Automorphisms of free groups have finitely generated fixed point sets
- Train tracks and automorphisms of free groups
- An extremal problem for quasiconformal mappings and a theorem by Thurston
- Geometry of the complex of curves. II: Hierarchical structure
- Geometry of the complex of curves. I: Hyperbolicity
- Homological stability for automorphism groups of free groups
- Sphere paths in outer space
- Lipschitz retraction and distortion for subgroups of \(\mathrm{Out}(F_n)\).
- The hyperbolicity of the sphere complex via surgery paths
- A note on subfactor projections.
- Hyperbolicity of the complex of free factors.
- Lines of minima in outer space
- Sur les 2-sphères d'une variété de dimension 3
- Axes in outer space
- A Bers-like proof of the existence of train tracks for free group automorphisms
- Intersection numbers and the hyperbolicity of the curve complex
- Quasi-projections in Teichmüller space.
- Subgroup Decomposition in 𝖮𝗎𝗍(𝖥_{𝗇})
- Quasi-homomorphisms on mapping class groups
- The asymptotic dimension of a curve graph is finite
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