Maximal dilatation on nonorientable surfaces
Dynamical Systems
2025-08-13 v1 Geometric Topology
Abstract
On each nonorientable surface of even genus , we show that the Liechti-Strenner's polynomial in~\cite{LiechtiStrenner18} gives a maximal dilatation among pseudo-Anosov diffeomorphisms with an orientable invariant foliation. This is proved by showing that this polynomial is irreducible.
Cite
@article{arxiv.2508.08323,
title = {Maximal dilatation on nonorientable surfaces},
author = {Ji-Young Ham and Joongul Lee},
journal= {arXiv preprint arXiv:2508.08323},
year = {2025}
}
Comments
9 pages, 3figures