References & Citations
Mathematics > Geometric Topology
Title: Divides with cusps and symmetric links
(Submitted on 1 Dec 2023 (v1), last revised 4 Jan 2024 (this version, v2))
Abstract: 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 $S^3$. In this paper, we give the characterization of the link in $S^3$ 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.
Submission history
From: Sakumi Sugawara [view email][v1] Fri, 1 Dec 2023 08:44:49 GMT (24kb)
[v2] Thu, 4 Jan 2024 08:25:54 GMT (27kb)
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