Acylindrical actions on projection complexes

DOI10.4171/LEM/65-1/2-1zbMath1472.20089arXiv1711.08722OpenAlexW3004399055MaRDI QIDQ2190073

Mladen Bestvina, Koji Fujiwara, Alessandro Sisto, Kenneth W. Bromberg

Publication date: 18 June 2020

Published in: L'Enseignement Mathématique. 2e Série (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1711.08722

zbMATH Keywords

mapping class groupshyperbolically embedded subgroupsacylindricityquasi-trees

Mathematics Subject Classification ID

Geometric group theory (20F65) Topological methods in group theory (57M07) Hyperbolic groups and nonpositively curved groups (20F67) Groups acting on trees (20E08)

Related Items (11)

Hyperbolic quotients of projection complexes ⋮ Counting conjugacy classes in groups with contracting elements ⋮ Groups acting on hyperbolic spaces -- a survey ⋮ Stable cubulations, bicombings, and barycenters ⋮ Automorphisms of groups and a higher rank JSJ decomposition. I: RAAGs and a higher rank Makanin-Razborov diagram ⋮ Free products from spinning and rotating families ⋮ Projection complexes and quasimedian maps ⋮ Cogrowth for group actions with strongly contracting elements ⋮ The Farrell-Jones conjecture for mapping class groups ⋮ Proper actions on finite products of quasi-trees ⋮ Right-angled Artin groups as normal subgroups of mapping class groups

Cites Work

• Bounded cohomology with coefficients in uniformly convex Banach spaces
• Induced quasicocycles on groups with hyperbolically embedded subgroups.
• Commensurating endomorphisms of acylindrically hyperbolic groups and applications
• Asymptotic geometry of the mapping class group and Teichmüller space
• Constructing group actions on quasi-trees and applications to mapping class groups
• Quasi-actions on trees. I: Bounded valence
• Geometry of the complex of curves. II: Hierarchical structure
• The Farrell-Jones conjecture for mapping class groups
• Geometry of the complex of curves. I: Hyperbolicity
• Embedding mapping class groups into a finite product of trees
• Geometry of pseudocharacters.
• Acylindrical group actions on quasi-trees
• Tree-graded spaces and asymptotic cones of groups. (With an appendix by Denis Osin and Mark Sapir).
• Acylindrically hyperbolic groups
• Coarse flow spaces for relatively hyperbolic groups
• Quasi-actions on trees II: Finite depth Bass-Serre trees
• Extending higher-dimensional quasi-cocycles
• Hyperbolically embedded subgroups and rotating families in groups acting on hyperbolic spaces

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