Minimum dilatations of pseudo-Anosov braids
| Autor: | Tsang, Chi Cheuk, Zeng, Xiangzhuo |
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| Rok vydání: | 2024 |
| Předmět: | |
| Druh dokumentu: | Working Paper |
| Popis: | We determine the minimum dilatation $\delta_n$ among pseudo-Anosov braids with $n$ strands, for large enough values of $n$. This confirms a conjecture of Venzke that $\lim_{n \to \infty} \delta_n^n = (2+\sqrt{3})^2 \approx 13.928$. Together with previous work, this also solves the minimum dilatation problem on the $n$-punctured sphere, for all but $6$ values of $n$. Comment: 82 pages, 13 figures |
| Databáze: | arXiv |
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