Comparing topologies on the Morse boundary and quasi-isometry invariance
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Publication:2025651
DOI10.1007/s10711-020-00553-3OpenAlexW3106249222MaRDI QIDQ2025651
Publication date: 14 May 2021
Published in: Geometriae Dedicata (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1903.07048
geometric group theoryright-angled Artin groupsCAT(0) cube complexesquasi-isometry invarianceconstruction of a metricMackay: 07076084topologies on the Morse boundaryZitat Cashen
Geometric group theory (20F65) Hyperbolic groups and nonpositively curved groups (20F67) Metric geometry (51Fxx)
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An embedding of the Morse boundary in the Martin boundary, Sublinearly Morse geodesics in CAT(0) spaces: lower divergence and hyperplane characterization, Right-angled Coxeter groups with totally disconnected Morse boundaries, Sublinearly Morse boundaries from the viewpoint of combinatorics, Dynamics on the Morse boundary, Maps on the Morse boundary
Cites Work
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- Quasi-isometries need not induce homeomorphisms of contracting boundaries with the Gromov product topology
- The virtual Haken conjecture (with an appendix by Ian Agol, Daniel Groves and Jason Manning).
- A characterization of higher rank symmetric spaces via bounded cohomology
- Research announcement: The structure of groups with a quasiconvex hierarchy.
- Random walks and boundaries of CAT(0) cubical complexes
- Characterizations of Morse quasi-geodesics via superlinear divergence and sublinear contraction
- Morse boundaries of proper geodesic metric spaces
- Cubulating small cancellation groups.
- Spaces with nonpositive curvature and their ideal boundaries
- Hyperbolic quasi-geodesics in CAT(0) spaces.
- Negative curvature in graphical small cancellation groups
- Cocompactly cubulated graph manifolds
- Topology and dynamics of the contracting boundary of cocompact CAT(0) spaces
- A boundary criterion for cubulation
- Graph manifolds with boundary are virtually special
- The Furstenberg–Poisson boundary and CAT(0) cube complexes
- Mixed 3-manifolds are virtually special
- Un Groupe Hyperbolique Est Déterminé Par Son Bord
- A metrizable topology on the contracting boundary of a group
- Contracting boundaries of CAT(0) spaces
- Stability and the Morse boundary
- Groups with graphical 𝐶(6) and 𝐶(7) small cancellation presentations