A combinatorial criterion and center for the quasi-isometry groups of Euclidean spaces

DOI10.1016/J.TOPOL.2023.108795zbMath1529.20067arXiv2202.03824OpenAlexW4389461540MaRDI QIDQ6142731

Prateep Chakraborty, Swarup Bhowmik

Publication date: 4 January 2024

Published in: Topology and its Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2202.03824

zbMATH Keywords

piecewise-linear homeomorphismquasi-isometries of Euclidean spaceslocally finite simplicial complex\(PL\)-homeomorphism groups

Mathematics Subject Classification ID

Geometric group theory (20F65) Simplicial sets and complexes in algebraic topology (55U10)

Cites Work

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• The quasi-isometry classification of lattices in semisimple Lie groups
• A rigidity theorem for the solvable Baumslag-Solitar groups. (With an appendix by Daryl Cooper)
• On the center of the group of quasi-isometries of the real line
• Embedding certain diffeomorphism groups in the quasi-isometry groups of Euclidean spaces
• On homeomorphisms and quasi-isometries of the real line
• The large scale geometry of the higher Baumslag-Solitar groups

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