Characterizations of Morse quasi-geodesics via superlinear divergence and sublinear contraction

DOI10.25537/dm.2017v22.1193-1224zbMath1483.20077arXiv1601.01897MaRDI QIDQ1677386

Goulnara N. Arzhantseva, Christopher H. Cashen, Dominik Gruber, David Hume

Publication date: 21 November 2017

Published in: Documenta Mathematica (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1601.01897

zbMATH Keywords

contracting projectiongeodesic image theoremMorse quasi-geodesicsuperlinear divergence

Mathematics Subject Classification ID

Geometric group theory (20F65) Hyperbolic groups and nonpositively curved groups (20F67)

Related Items (24)

Morse quasiflats. I ⋮ Quasi-isometries need not induce homeomorphisms of contracting boundaries with the Gromov product topology ⋮ Strongly contracting geodesics in a tree of spaces ⋮ Connected components of Morse boundaries of graphs of groups ⋮ Sublinearly Morse geodesics in CAT(0) spaces: lower divergence and hyperplane characterization ⋮ Sublinearly Morse boundary. I: CAT(0) spaces ⋮ Corrigendum to “Divergence in lattices in semisimple Lie groups and graphs of groups” ⋮ Morse quasiflats. II ⋮ Convexity in hierarchically hyperbolic spaces ⋮ Equivalent topologies on the contracting boundary ⋮ Acylindrical hyperbolicity of subgroups ⋮ Unnamed Item ⋮ The Farrell-Jones conjecture for mapping class groups ⋮ Comparing topologies on the Morse boundary and quasi-isometry invariance ⋮ The geometry of generalized loxodromic elements ⋮ Morse subsets of CAT(0) spaces are strongly contracting ⋮ A metrizable topology on the contracting boundary of a group ⋮ Geodesics in the mapping class group ⋮ Stable subgroups and Morse subgroups in mapping class groups ⋮ The local-to-global property for Morse quasi-geodesics ⋮ Negative curvature in graphical small cancellation groups ⋮ Divergence of finitely presented groups ⋮ Cross ratios and cubulations of hyperbolic groups ⋮ Largest acylindrical actions and Stability in hierarchically hyperbolic groups

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