Bowden, Jonathan and Mann, Kathryn (2022) C-0 STABILITY OF BOUNDARY ACTIONS AND INEQUIVALENT ANOSOV FLOWS. ANNALES SCIENTIFIQUES DE L ECOLE NORMALE SUPERIEURE, 55 (4). pp. 1003-1046. ISSN 0012-9593, 1873-2151
Full text not available from this repository. (Request a copy)Abstract
We give a topological stability result for the action of the fundamental group of a compact manifold of negative curvature on its boundary at infinity: any nearby action of this group by homeomorphisms of the sphere is semi-conjugate to the standard boundary action. Using similar techniques we prove a global rigidity result for the "slithering actions" of 3-manifold groups that come from skew-Anosov flows. As applications, we construct hyperbolic 3-manifolds that admit arbitrarily many topologically inequivalent Anosov flows, answering a question from Kirby's problem list, and also give a more conceptual proof of a theorem of the second author on global C-0-rigidity of geometric surface group actions on the circle.
| Item Type: | Article |
|---|---|
| Uncontrolled Keywords: | HOMEOMORPHISMS; |
| Subjects: | 500 Science > 510 Mathematics |
| Divisions: | Mathematics |
| Depositing User: | Dr. Gernot Deinzer |
| Date Deposited: | 05 Dec 2023 08:07 |
| Last Modified: | 05 Dec 2023 08:07 |
| URI: | https://pred.uni-regensburg.de/id/eprint/56873 |
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