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Mapping class groups are quasicubical

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arxiv 2112.10681 v3 pith:H7LIAX73 submitted 2021-12-20 math.MG math.GR

Harry Petyt This is my paper · ORCID
classification math.MGmath.GR
keywords classgroupsmappingapplyingclosedcomplexcubedistinct
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It is proved that the mapping class group of any closed surface with finitely many marked points is quasiisometric to a CAT(0) cube complex. We provide two distinct proofs, one tailored to mapping class groups, and one applying to a larger class of groups.

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Cited by 2 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Stable cylinders and fine structures for hyperbolic groups and curve graphs

    math.GT 2025-01 conditional novelty 8.0 of 10

    Every residually finite hyperbolic group, and every curve graph of a finite-type surface, admits globally stable cylinders.

  2. Property QT of relatively hierarchically hyperbolic groups

    math.GR 2024-12 unverdicted novelty 7.0 of 10

    Establishes a sufficient condition for relatively hierarchically hyperbolic groups to have property (QT) and applies it to residually finite groups in several classes including admissible groups and Artin groups of la...

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