2023/12/01 by Sakumi Sugawara, Sugawara, Sakumi
Mathematics · Physics and Astronomy · #57K10 #FOS: Mathematics #Geometric Topology (math.GT) #Geometric and Algebraic Topology #Mathematical Dynamics and Fractals #Quantum chaos and dynamical systems
paper · pdf · doi:10.48550/arxiv.2312.00422
openalex publication_date 2023/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
A Divide with cusps is the image of a proper generic immersion from finite intervals and circles into a 2-disk which allows to have cusps. A divide with cusps is the generalization of the notion of the divide which is introduced by A'Campo. From a divide with cusps, we can define the associated link in S3. In this paper, we give the characterization of the link in S3 which can be described as the associated link of a divide with cusps. In particular, we prove that every strongly invertible link and 2-periodic link can be described as the link of a divide with cusps.