Work

Self‐intersections of arcs on a pair of pants

Year: 2025

Type: article

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.

Source: Bulletin of the London Mathematical Society

DOI: 10.1112/blms.70088

Authors: Nhat Minh Doan, Hanh Vo

Institutions: National University of Singapore, Institute of Mathematics, Vietnam Academy of Science and Technology, Arizona State University

Language: English

Topic: Geometric and Algebraic Topology

Subfield: Geometry and Topology

Field: Mathematics

Domain: Physical Sciences

Open Access status: bronze

Funders: National Foundation for Science and Technology Development, National Research Foundation, National Research Foundation Singapore

Awards: G5742883852, Hình học và tô pô của một số lớp ánh xạ và đa tạp khả vi