Sphere paths in outer space

DOI10.2140/agt.2012.12.2493zbMath1262.57005arXiv1201.6027OpenAlexW2139467075MaRDI QIDQ1938754

Camille Horbez

Publication date: 25 February 2013

Published in: Algebraic \& Geometric Topology (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1201.6027

zbMATH Keywords

intersection numbersLipschitz metricouter spacecombing pathsspheres systems

Mathematics Subject Classification ID

Geometric group theory (20F65) Topological methods in group theory (57M07)

Related Items

The mapping class group of connect sums of 𝑆²×𝑆¹, Fully irreducible automorphisms of the free group via Dehn twisting in \(\sharp_k(S^2\times S^1)\), The hyperbolicity of the sphere complex via surgery paths, Uniform fellow traveling between surgery paths in the sphere graph, Diophantine approximation and the geometry of limit sets in Gromov hyperbolic metric spaces, On the geometry of Outer space

Cites Work

• Metric properties of outer space.
• Asymmetry of outer space.
• Embedded spheres in \(S^2 \times S^1\# \cdots \# S^2 \times S^1\)
• Algebraic and geometric intersection numbers for free groups
• Moduli of graphs and automorphisms of free groups
• The symmetry of intersection numbers in group theory
• Isoperimetric inequalities for automorphism groups of free groups
• Automorphisms of free groups and outer space
• Homological stability for automorphism groups of free groups
• Cœur et nombre d'intersection pour les actions de groupes sur les arbres
• Intersection numbers and the hyperbolicity of the curve complex
• The expansion factors of an outer automorphism and its inverse
• Growth of intersection numbers for free group automorphisms
• On Certain Sets of Elements in a Free Group