There are no periodic Wright maps
Geometric Topology
2025-09-11 v2
Abstract
This paper proves that every periodic automorphism of a closed hyperbolic surface S sends some curve to a nearly disjoint curve. In particular, periodic maps cannot have the property that every curve fills with its image, so no such map can give a positive answer to a question of Wright. This paper also answers a question of Schleimer about irreducible periodic surface maps.
Cite
@article{arxiv.2509.05222,
title = {There are no periodic Wright maps},
author = {David Futer},
journal= {arXiv preprint arXiv:2509.05222},
year = {2025}
}
Comments
7 pages, 1 figure. v2: updated references