Revised minimum-dilatation conjecture for 10-strand pseudo-Anosov braids
Revised minimum-dilatation conjecture for 10-strand pseudo-Anosov braids
Let be the stated candidate value for the minimum dilatation of pseudo-Anosov braids with 9 strands, and let denote the variable in its defining polynomial. 10-strand minimum-dilatation conjecture. The minimum dilatation among pseudo-Anosov braids with 10 strands equals
This revises Venzke's conjecture in the case , after the original prediction was shown to fail there. The remaining values of are presented as an outstanding computational problem in the source.
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Primary source
Chi Cheuk Tsang and Xiangzhuo Zeng, “Minimum dilatations of pseudo-Anosov braids”, arXiv:2412.01648 (2025).
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