Number of Systoles of Once-Punctured Torus and Four-Punctured Sphere

2016/12/25 by Naoki Hanada, Hanada, Naoki
Computer Science · Mathematics · #53C22 #Computational Geometry and Mesh Generation #FOS: Mathematics #Geometric Topology (math.GT) #Geometric and Algebraic Topology #Mathematical Dynamics and Fractals #Primary 30F10 #Secondly 32G15

paper · pdf · doi:10.48550/arxiv.1612.08267

openalex publication_date 2016/12/25 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We compute the number of systoles, the shortest simple closed geodesics and 2-systoles, the second shortest simple closed geodesics on hyperbolic surfaces homeomorphic to once-punctured torus and four-punctured sphere.

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