Two-bridge links and stable maps into the plane

Kazuhiro Ichihara; Gakuto Kato

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arXiv · 2405.14296

Two-bridge links and stable maps into the plane

Kazuhiro Ichihara·Gakuto Kato

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Abstract

We give a visual construction of stable maps from the $3$-sphere into the real plane enjoying the following properties; the set of definite fold points coincides with a given two-bridge link and the map only admits certain types of fibers containing two indefinite fold points. As a corollary, we determine the stable map complexities defined by Koda and Ishikawa for some two-bridge link exteriors.

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BibTeX RIS

Kazuhiro Ichihara, Gakuto Kato. 2024-05-23. Two-bridge links and stable maps into the plane. https://arxiv.org/abs/2405.14296

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