BIG MAPPING CLASS GROUPS WITH HYPERBOLIC ACTIONS: CLASSIFICATION AND APPLICATIONS
DOI10.1017/S1474748021000189WikidataQ115562684 ScholiaQ115562684MaRDI QIDQ5056296
Camille Horbez, Yulan Qing, Kasra Rafi
Publication date: 8 December 2022
Published in: Journal of the Institute of Mathematics of Jussieu (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2005.00428
SQ-universalitynormal subgroupsbounded cohomologygroup actions on hyperbolic spacesmapping class groups of infinite-type surfacesnondisplaceable subsurfaces
Geometric group theory (20F65) Hyperbolic groups and nonpositively curved groups (20F67) Group actions on manifolds and cell complexes in low dimensions (57M60)
Related Items (2)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Hyperbolicity of the ray graph and quasimorphism on a big modular group
- Stable commutator length on mapping class groups
- Second bounded cohomology and WWPD
- Amenable hyperbolic groups
- Constructing group actions on quasi-trees and applications to mapping class groups
- Measure equivalence rigidity of the mapping class group
- Geometry of the complex of curves. II: Hierarchical structure
- Isomorphisms between curve graphs of infinite-type surfaces are geometric
- Algebraic and topological properties of big mapping class groups
- Geometry of the complex of curves. I: Hyperbolicity
- Bounded cohomology of subgroups of mapping class groups
- WWPD elements of big mapping class groups
- Homeomorphic subsurfaces and the omnipresent arcs
- First cohomology of pure mapping class groups of big genus one and zero surfaces
- Isometry groups of infinite-genus hyperbolic surfaces
- Big Torelli groups: generation and commensuration
- The Alexander method for infinite-type surfaces
- Geometric normal subgroups in mapping class groups of punctured surfaces
- Isomorphisms Between Big Mapping Class Groups
- The Gromov boundary of the ray graph
- Big mapping class groups are not acylindrically hyperbolic
- Graphs of curves on infinite-type surfaces with mapping class group actions
- Big mapping class groups and rigidity of the simple circle
- Right-angled Artin groups as normal subgroups of mapping class groups
- Coarse Geometry of Topological Groups
- Hyperbolically embedded subgroups and rotating families in groups acting on hyperbolic spaces
- Arc and curve graphs for infinite-type surfaces
- On the Classification of Noncompact Surfaces
- The First Integral Cohomology of Pure Mapping Class Groups
- Nielsen realization for infinite-type surfaces
This page was built for publication: BIG MAPPING CLASS GROUPS WITH HYPERBOLIC ACTIONS: CLASSIFICATION AND APPLICATIONS