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arXiv · 2508.08323

Maximal dilatation on nonorientable surfaces

Ji-Young Ham·Joongul Lee
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Abstract

On each nonorientable surface of even genus $g \geq 4$, 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.

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Ji-Young Ham, Joongul Lee. 2025-08-09. Maximal dilatation on nonorientable surfaces. https://arxiv.org/abs/2508.08323

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