一条裤子上的弧线的自交

IF 0.9 3区数学 Q2 MATHEMATICS

Bulletin of the London Mathematical Society Pub Date : 2025-05-06 DOI:10.1112/blms.70088

Nhat Minh Doan, Hanh Vo

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引用次数: 0

摘要

研究了裤子上的圆弧，提出了一种计算圆弧自交数的算法。此外，我们还根据单词长度建立了自交数的界限。证明了2-低洼弧自交数的谱覆盖了所有自然数。

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Self-intersections of arcs on a pair of pants

We investigate arcs on a pair of pants and present an algorithm to compute the self-intersection number of an arc. Additionally, we establish bounds for the self-intersection number in terms of the word length. We also prove that the spectrum of self-intersection numbers of 2-low-lying arcs covers all natural numbers.

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