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arXiv · 2407.17750

Self-intersections of arcs on a pair of pants

Nhat Minh Doan·Hanh Vo
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Abstract

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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Nhat Minh Doan, Hanh Vo. 2024-07-25. Self-intersections of arcs on a pair of pants. https://arxiv.org/abs/2407.17750

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