The end of the curve complex

DOI10.4171/GGD/120zbMath1235.32013arXivmath/0608505OpenAlexW2067429135MaRDI QIDQ646381

Saul Schleimer

Publication date: 17 November 2011

Published in: Groups, Geometry, and Dynamics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0608505

zbMATH Keywords

hyperbolic spaceGromov boundarycurve complexBirman short exact sequence

Mathematics Subject Classification ID

General low-dimensional topology (57M99) Moduli of Riemann surfaces, Teichmüller theory (complex-analytic aspects in several variables) (32G15) Riemann surfaces (30F99)

Related Items

Typical properties of periodic Teichmüller geodesics: Lyapunov exponents, Unnamed Item, On the geometry of graphs associated to infinite-type surfaces, Two simultaneous actions of big mapping class groups, Hierarchy paths in the Hatcher-Thurston complex, The grand arc graph, Arc and curve graphs for infinite-type surfaces, \(k\)-free-like groups., Asymptotic dimension, The subset of \(\mathbb R^3\) realizing metrics on the curve complex, A note on spaces of asymptotic dimension one, The curves not carried, The geometry of the disk complex, Origami edge-paths in the curve graph, Ordering the space of finitely generated groups, Entropy and quasimorphisms, Pseudo–Anosov mapping classes from pure mapping classes, The curve complex has dead ends, Coarse and synthetic Weil-Petersson geometry: Quasi-flats, geodesics and relative hyperbolicity, Almost filling laminations and the connectivity of ending lamination space, Big Mapping Class Groups: An Overview, Connectivity of certain simplicial complexes associated to a handlebody, Mapping class groups with the Rokhlin property, Finiteness of mapping class groups: locally large strongly irreducible Heegaard splittings, A collection of nonfilling multicurve complexes

Cites Work

• Unnamed Item
• Connectivity of the space of ending laminations
• Almost filling laminations and the connectivity of ending lamination space
• On the Nielsen-Thurston-Bers type of some self-maps of Riemann surfaces
• Geometry of the complex of curves. II: Hierarchical structure
• Geometry of the complex of curves. I: Hyperbolicity
• Trees and mapping class groups
• Braids, Links, and Mapping Class Groups. (AM-82)
• The asymptotic dimension of a curve graph is finite