Big mapping class groups and rigidity of the simple circle

DOI10.1017/etds.2020.43zbMath1470.37066arXiv1907.07903OpenAlexW3032979123WikidataQ114119195 ScholiaQ114119195MaRDI QIDQ4991742

Lvzhou Chen, Danny Calegari

Publication date: 3 June 2021

Published in: Ergodic Theory and Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1907.07903

zbMATH Keywords

rigiditygroup actionslow-dimensional dynamicsbig mapping class groups

Mathematics Subject Classification ID

Generators, relations, and presentations of groups (20F05) Dynamical systems involving maps of the circle (37E10) Topological and differentiable equivalence, conjugacy, moduli, classification of dynamical systems (37C15) Rotation numbers and vectors (37E45) 2-dimensional topology (including mapping class groups of surfaces, Teichmüller theory, curve complexes, etc.) (57K20) Dynamics in general topological spaces (37B02)

Related Items (9)

Normal subgroups of big mapping class groups ⋮ BIG MAPPING CLASS GROUPS WITH HYPERBOLIC ACTIONS: CLASSIFICATION AND APPLICATIONS ⋮ Two simultaneous actions of big mapping class groups ⋮ Laminations and \(2\)-filling rays on infinite type surfaces ⋮ Sausages ⋮ Big mapping class groups with uncountable integral homology ⋮ Three perfect mapping class groups ⋮ Big Mapping Class Groups: An Overview ⋮ Nielsen realization for infinite-type surfaces

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