Arc and curve graphs for infinite-type surfaces
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Publication:5354492
DOI10.1090/proc/13608zbMath1377.57006arXiv1510.07805OpenAlexW2963431371MaRDI QIDQ5354492
Ariadna Fossas, Javier Aramayona, Hugo Parlier
Publication date: 4 September 2017
Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1510.07805
General geometric structures on low-dimensional manifolds (57M50) Relations of low-dimensional topology with graph theory (57M15) Infinite graphs (05C63)
Related Items (16)
Train tracks and measured laminations on infinite surfaces ⋮ BIG MAPPING CLASS GROUPS WITH HYPERBOLIC ACTIONS: CLASSIFICATION AND APPLICATIONS ⋮ On the geometry of graphs associated to infinite-type surfaces ⋮ Automorphisms of the loop and arc graph of an infinite-type surface ⋮ Two simultaneous actions of big mapping class groups ⋮ Hyperbolic limits of cantor set complements in the sphere ⋮ Large-scale geometry of big mapping class groups ⋮ Flip graphs for infinite type surfaces ⋮ Graphs of curves on infinite-type surfaces with mapping class group actions ⋮ Algebraic and topological properties of big mapping class groups ⋮ Uniform hyperbolicity of the graphs of nonseparating curves via bicorn curves ⋮ Two remarks about multicurve graphs on infinite-type surfaces ⋮ Big Mapping Class Groups: An Overview ⋮ Big mapping class groups and rigidity of the simple circle ⋮ WWPD elements of big mapping class groups ⋮ Homeomorphic subsurfaces and the omnipresent arcs
Cites Work
- Hyperbolicity of the ray graph and quasimorphism on a big modular group
- Curve complexes are rigid
- The end of the curve complex
- Sur les groupes hyperboliques d'après Mikhael Gromov. (On the hyperbolic groups à la M. Gromov)
- Geometry of the complex of curves. II: Hierarchical structure
- Geometry of the complex of curves. I: Hyperbolicity
- 1-slim triangles and uniform hyperbolicity for arc graphs and curve graphs
- Curve graphs on surfaces of infinite type
- Big mapping class groups are not acylindrically hyperbolic
- The geometry of the disk complex
- On the Classification of Noncompact Surfaces
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