Maximal dilatation on nonorientable surfaces
Fuente:
arXiv
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| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2025
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| _version_ | 1866912532823801856 |
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| author | Ham, Ji-Young Lee, Joongul |
| author_facet | Ham, Ji-Young Lee, Joongul |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2508_08323 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Maximal dilatation on nonorientable surfaces Ham, Ji-Young Lee, Joongul Dynamical Systems Geometric Topology 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. |
| title | Maximal dilatation on nonorientable surfaces |
| topic | Dynamical Systems Geometric Topology |
| url | https://arxiv.org/abs/2508.08323 |