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作用于边界球上的双曲群的稳定性

IF 1.2 2区 数学 Q1 MATHEMATICS
Forum of Mathematics Sigma Pub Date : 2023-09-21 DOI:10.1017/fms.2023.78
Kathryn Mann, Jason Fox Manning
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引用次数: 2

摘要

双曲群G在其Gromov边界上通过同胚作用。我们证明了如果$\偏G$是一个拓扑n球，则作用在动力学意义上是拓扑稳定的:任何附近的作用都是标准边界作用的半共轭。
本文章由计算机程序翻译，如有差异，请以英文原文为准。
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Stability for hyperbolic groups acting on boundary spheres
A hyperbolic group G acts by homeomorphisms on its Gromov boundary. We show that if $\partial G$ is a topological n–sphere, the action is topologically stable in the dynamical sense: any nearby action is semi-conjugate to the standard boundary action.
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来源期刊
Forum of Mathematics Sigma
Forum of Mathematics Sigma Mathematics-Statistics and Probability
CiteScore
1.90
自引率
5.90%
发文量
79
审稿时长
40 weeks
期刊介绍： Forum of Mathematics, Sigma is the open access alternative to the leading specialist mathematics journals. Editorial decisions are made by dedicated clusters of editors concentrated in the following areas: foundations of mathematics, discrete mathematics, algebra, number theory, algebraic and complex geometry, differential geometry and geometric analysis, topology, analysis, probability, differential equations, computational mathematics, applied analysis, mathematical physics, and theoretical computer science. This classification exists to aid the peer review process. Contributions which do not neatly fit within these categories are still welcome. Forum of Mathematics, Pi and Forum of Mathematics, Sigma are an exciting new development in journal publishing. Together they offer fully open access publication combined with peer-review standards set by an international editorial board of the highest calibre, and all backed by Cambridge University Press and our commitment to quality. Strong research papers from all parts of pure mathematics and related areas will be welcomed. All published papers will be free online to readers in perpetuity.
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