The First Integral Cohomology of Pure Mapping Class Groups

DOI10.1093/imrn/rnaa229zbMath1462.57020arXiv1711.03132OpenAlexW3089759875MaRDI QIDQ5854242

Priyam Patel, Javier Aramayona, Nicholas G. Vlamis

Publication date: 16 March 2021

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

Full work available at URL: https://arxiv.org/abs/1711.03132

zbMATH Keywords

mapping class groupbig mapping class groupinfinite type surfaces

Mathematics Subject Classification ID

2-dimensional topology (including mapping class groups of surfaces, Teichmüller theory, curve complexes, etc.) (57K20)

Related Items (15)

Normal subgroups of big mapping class groups ⋮ BIG MAPPING CLASS GROUPS WITH HYPERBOLIC ACTIONS: CLASSIFICATION AND APPLICATIONS ⋮ Coarse geometry of pure mapping class groups of infinite graphs ⋮ End‐periodic homeomorphisms and volumes of mapping tori ⋮ Conjugacy classes of big mapping class groups ⋮ Mapping class groups of surfaces with noncompact boundary components ⋮ Large-scale geometry of big mapping class groups ⋮ Big mapping class groups with uncountable integral homology ⋮ Isometry groups of infinite-genus hyperbolic surfaces ⋮ Big Torelli groups: generation and commensuration ⋮ Big Mapping Class Groups: An Overview ⋮ Asymptotic mapping class groups of closed surfaces punctured along Cantor sets ⋮ Mapping class groups with the Rokhlin property ⋮ Nielsen realization for infinite-type surfaces ⋮ Big mapping class groups acting on homology

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