Self-intersections of arcs on a pair of pants
Geometric Topology
2024-07-26 v1 Combinatorics
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.
Cite
@article{arxiv.2407.17750,
title = {Self-intersections of arcs on a pair of pants},
author = {Nhat Minh Doan and Hanh Vo},
journal= {arXiv preprint arXiv:2407.17750},
year = {2024}
}