Affiliation:
1. IMJ‐PRG Sorbonne Université Paris Cedex 05 France
2. Laboratoire Mathématiques et Interactions J.A. Dieudonné Université Côte d'Azur, CNRS UMR 7351 Parc Valrose Nice Cedex 2 France
Abstract
AbstractIn this article, we finish the classification of actions of torus homeomorphisms on the fine curve graph initiated by Bowden, Hensel, Mann, Militon, and Webb. This is made by proving that if , then acts elliptically on if and only if has bounded deviations in some direction . The proof involves some kind of slow rotation sets for torus homeomorphisms.
Funder
Agence Nationale de la Recherche
Cited by
1 articles.
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1. Parabolic isometries of the fine curve graph of the torus;Proceedings of the London Mathematical Society;2024-07-31