Isomorphisms between curve graphs of infinite-type surfaces are geometric

DOI10.1216/RMJ-2018-48-6-1887zbMath1481.57037arXiv1706.03697OpenAlexW2963028905WikidataQ128880121 ScholiaQ128880121MaRDI QIDQ1627595

Israel Morales, Ferrán Valdez, Jesús Hernández Hernández

Publication date: 30 November 2018

Published in: Rocky Mountain Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1706.03697

zbMATH Keywords

complex of curvesbig mapping class group

Mathematics Subject Classification ID

Geometric group theory (20F65) Topological methods in group theory (57M07) General geometric structures on low-dimensional manifolds (57M50) 2-dimensional topology (including mapping class groups of surfaces, Teichmüller theory, curve complexes, etc.) (57K20)

Related Items (8)

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 ⋮ Geometries of topological groups ⋮ Conjugacy classes of big mapping class groups ⋮ Big flip graphs and their automorphism groups ⋮ Big Mapping Class Groups: An Overview ⋮ Asymptotic mapping class groups of closed surfaces punctured along Cantor sets

Cites Work

• Automorphism groups of simplicial complexes of infinite-type surfaces
• Combinatorial rigidity in curve complexes and mapping class groups
• Algebraic and topological properties of big mapping class groups
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