Arcs Intersecting at Most Once on the 4-Punctured Sphere

2021/07/14 by Paul Tee, Tee, Paul
Mathematics · #Advanced Harmonic Analysis Research #FOS: Mathematics #Geometric Topology (math.GT) #Holomorphic and Operator Theory #Point processes and geometric inequalities

paper · pdf · doi:10.48550/arxiv.2107.06462

openalex publication_date 2021/07/14 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We classify maximal systems of arcs which intersect at most once on the 4-punctured sphere.

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• Arcs on spheres intersecting at most twice
• Arcs intersecting at most once
• 2-systems of arcs on spheres with prescribed endpoints
• Arcs on Punctured Disks Intersecting at Most Twice with Endpoints on the Boundary
• Systems of arcs on a torus with two punctures