Coarse geometry of pure mapping class groups of infinite graphs

DOI10.1016/j.aim.2022.108836OpenAlexW4319997059MaRDI QIDQ2679892

Sanghoon Kwak, Hannah Hoganson, George Domat

Publication date: 26 January 2023

Published in: Advances in Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2201.02559

zbMATH Keywords

coarse geometrymapping class groupsasymptotic dimensionPolish groupsproper homotopy equivalence\( \operatorname{Out}( F_n)\)

Mathematics Subject Classification ID

General low-dimensional topology (57Mxx) Special aspects of infinite or finite groups (20Fxx) Structure and classification of infinite or finite groups (20Exx)

Cites Work

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• Metric geometry of locally compact groups
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• Automorphisms of free groups and outer space
• The automorphism group of the infinite-rank free group is coarsely bounded
• Big Mapping Class Groups: An Overview
• Proper Homotopy Classification of Graphs
• Graphs of curves on infinite-type surfaces with mapping class group actions
• 2 Independence and interpretable structures in nonabelian free groups
• Hyperbolic Groups
• On the Classification of Noncompact Surfaces
• The First Integral Cohomology of Pure Mapping Class Groups

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