Isomorphisms Between Big Mapping Class Groups

DOI10.1093/imrn/rny093zbMath1458.57014arXiv1708.08383OpenAlexW2963313549MaRDI QIDQ3296128

Spencer Dowdall, Kasra Rafi, Juliette Bavard

Publication date: 7 July 2020

Published in: International Mathematics Research Notices (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1708.08383

zbMATH Keywords

curve complexesbig mapping class groupsisomorphisms between finite index subgroupsouter automophism groups

Mathematics Subject Classification ID

Geometric group theory (20F65) Topological methods in group theory (57M07) Topological properties of groups of homeomorphisms or diffeomorphisms (57S05) 2-dimensional topology (including mapping class groups of surfaces, Teichmüller theory, curve complexes, etc.) (57K20)

Related Items (16)

Train tracks and measured laminations on infinite surfaces ⋮ BIG MAPPING CLASS GROUPS WITH HYPERBOLIC ACTIONS: CLASSIFICATION AND APPLICATIONS ⋮ Automorphisms of the loop and arc graph of an infinite-type surface ⋮ First cohomology of pure mapping class groups of big genus one and zero surfaces ⋮ Commensurations of the outer automorphism group of a universal Coxeter group ⋮ Twisted conjugacy in big mapping class groups ⋮ Geometries of topological groups ⋮ Conjugacy classes of big mapping class groups ⋮ Big flip graphs and their automorphism groups ⋮ Large-scale geometry of big mapping class groups ⋮ Isometry groups of infinite-genus hyperbolic surfaces ⋮ Big Torelli groups: generation and commensuration ⋮ Commensurations of subgroups of 𝑂𝑢𝑡(𝐹_{𝑁}) ⋮ Big Mapping Class Groups: An Overview ⋮ Asymptotic mapping class groups of closed surfaces punctured along Cantor sets ⋮ Normal subgroups of mapping class groups and the metaconjecture of Ivanov

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