Hyperbolic isometries of the fine curve graph of higher genus surfaces
Dynamical Systems
2023-12-14 v2 Group Theory
Geometric Topology
Abstract
We prove that for a homeomorphism f that is isotopic to the identity on a closed hyperbolic surface, the following are equivalent: * f acts hyperbolically on the fine curve graph; * f is isotopic to a pseudo-Anosov map relative to a finite f-invariant set; * the ergodic homological rotation set of f has nonempty interior.
Keywords
Cite
@article{arxiv.2311.01087,
title = {Hyperbolic isometries of the fine curve graph of higher genus surfaces},
author = {Pierre-Antoine Guihéneuf and Emmanuel Militon},
journal= {arXiv preprint arXiv:2311.01087},
year = {2023}
}
Comments
22 pages, 5 figures