Graphs of curves on infinite-type surfaces with mapping class group actions

DOI10.5802/aif.3217zbMath1416.57013arXiv1611.00841OpenAlexW2549038854WikidataQ128862083 ScholiaQ128862083MaRDI QIDQ4610377

Matthew Gentry Durham, Nicholas G. Vlamis, Federica Fanoni

Publication date: 15 January 2019

Published in: Annales de l'Institut Fourier (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1611.00841

zbMATH Keywords

coarse geometrymapping class groupssurface homeomorphismscurve graphsinfinite-type surfaces

Mathematics Subject Classification ID

Geometric group theory (20F65) Topological methods in group theory (57M07) Dynamical systems involving homeomorphisms and diffeomorphisms of planes and surfaces (37E30) Topological properties of groups of homeomorphisms or diffeomorphisms (57S05)

Related Items (17)

Train tracks and measured laminations on infinite surfaces ⋮ BIG MAPPING CLASS GROUPS WITH HYPERBOLIC ACTIONS: CLASSIFICATION AND APPLICATIONS ⋮ Matching arc complexes: connectedness and hyperbolicity ⋮ On the geometry of graphs associated to infinite-type surfaces ⋮ Graphs of curves for surfaces with finite-invariance index \(1\) ⋮ Ideally, all infinite‐type surfaces can be triangulated ⋮ Two simultaneous actions of big mapping class groups ⋮ Coarse geometry of pure mapping class groups of infinite graphs ⋮ End‐periodic homeomorphisms and volumes of mapping tori ⋮ Large-scale geometry of big mapping class groups ⋮ Flip graphs for infinite type surfaces ⋮ Loxodromic elements in big mapping class groups via the Hooper-Thurston-Veech construction ⋮ Geometry of the graphs of nonseparating curves: covers and boundaries ⋮ Uniform hyperbolicity of the graphs of nonseparating curves via bicorn curves ⋮ Big Mapping Class Groups: An Overview ⋮ Big mapping class groups and rigidity of the simple circle ⋮ Homeomorphic subsurfaces and the omnipresent arcs

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