Sublinearly Morse geodesics in CAT(0) spaces: lower divergence and hyperplane characterization

DOI10.2140/agt.2022.22.1337OpenAlexW4287686806WikidataQ114045616 ScholiaQ114045616MaRDI QIDQ2172192

Abdul Zalloum, Yulan Qing, Devin Murray

Publication date: 15 September 2022

Published in: Algebraic \& Geometric Topology (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2008.09199

zbMATH Keywords

boundaryCAT(0) cube complexsublinearly Morse

Mathematics Subject Classification ID

Geometric group theory (20F65) Hyperbolic groups and nonpositively curved groups (20F67) Group actions on manifolds and cell complexes in low dimensions (57M60) Special aspects of infinite or finite groups (20Fxx)

Related Items (2)

Sublinearly Morse boundary. I: CAT(0) spaces ⋮ Sublinearly Morse boundaries from the viewpoint of combinatorics

Cites Work

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• Strongly contracting geodesics in outer space.
• Divergence and quasimorphisms of right-angled Artin groups.
• Rank rigidity for CAT(0) cube complexes.
• A characterization of higher rank symmetric spaces via bounded cohomology
• Divergence of geodesics in Teichmüller space and the mapping class group
• Quadratic divergence of geodesics in CAT(0) spaces
• Characterizations of Morse quasi-geodesics via superlinear divergence and sublinear contraction
• Morse boundaries of proper geodesic metric spaces
• Divergence of CAT(0) cube complexes and Coxeter groups
• Spaces with nonpositive curvature and their ideal boundaries
• Contracting isometries of CAT(0) cube complexes and acylindrical hyperbolicity of diagram groups
• Comparing topologies on the Morse boundary and quasi-isometry invariance
• Large facing tuples and a strengthened sector lemma
• Hyperbolicities in CAT(0) cube complexes
• Hierarchically hyperbolic spaces. I: Curve complexes for cubical groups
• Topology and dynamics of the contracting boundary of cocompact CAT(0) spaces
• Sublinearly Morse boundary. I: CAT(0) spaces
• Weak hyperbolicity of cube complexes and quasi-arboreal groups
• Rank-one isometries of proper CAT(0)-spaces
• Contracting boundaries of CAT(0) spaces
• Largest acylindrical actions and Stability in hierarchically hyperbolic groups

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