On the Čech cohomology of Morse boundaries

DOI10.1016/j.aim.2024.109601arXiv2303.15981MaRDI QIDQ6126739

Elia Fioravanti, Alessandro Sisto, Annette Karrer, Stefanie Zbinden

Publication date: 10 April 2024

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

Full work available at URL: https://arxiv.org/abs/2303.15981

zbMATH Keywords

Čech cohomologyrelatively hyperboliccusped hyperbolic manifoldMorse boundarydiscrete homologysphere boundary

Mathematics Subject Classification ID

Geometric group theory (20F65) Topological methods in group theory (57M07) Discrete subgroups of Lie groups (22E40) Hyperbolic groups and nonpositively curved groups (20F67)

Cites Work

• Quasi-convexity of hyperbolically embedded subgroups
• Projections and relative hyperbolicity.
• On finite-dimensional uniform spaces
• Geometry of balls in nilpotent Lie groups
• Morse boundaries of proper geodesic metric spaces
• Hyperbolic spaces in Teichmüller spaces
• Complete topological descriptions of certain Morse boundaries
• RELATIVELY HYPERBOLIC GROUPS
• Discrete homology theory for metric spaces
• The Boundary of Negatively Curved Groups
• Infinitely presented graphical small cancellation groups are acylindrically hyperbolic
• Geometric Group Theory
• A metrizable topology on the contracting boundary of a group
• Quasi-hyperbolic planes in relatively hyperbolic groups
• Contracting boundaries of CAT(0) spaces
• Stability and the Morse boundary
• Boundary Convex Cocompactness and Stability of Subgroups of Finitely Generated Groups
• Morse boundaries of graphs of groups with finite edge groups
• Maps between relatively hyperbolic spaces and between their boundaries
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