Stability for hyperbolic groups acting on boundary spheres
Geometric Topology
2023-08-21 v2 Group Theory
Abstract
A hyperbolic group acts by homeomorphisms on its Gromov boundary. We show that if this boundary 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.
Cite
@article{arxiv.2104.01269,
title = {Stability for hyperbolic groups acting on boundary spheres},
author = {Kathryn Mann and Jason Fox Manning},
journal= {arXiv preprint arXiv:2104.01269},
year = {2023}
}
Comments
v2: 28 pages, 3 figures. Introduction rewritten and some other minor changes. This version accepted for publication in Forum of Math, Sigma