On two-bridge ribbon knots-Reference-Cited by-同舟云学术

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On two-bridge ribbon knots

Published:2024-04-30 Issue:05 Volume:33 Page:
ISSN:0218-2165
Container-title:Journal of Knot Theory and Its Ramifications
language:en
Short-container-title:J. Knot Theory Ramifications

Author:

Horigome Sayo¹,Ichihara Kazuhiro²^ORCID

Affiliation:

1. Caritas Girls’ Junior & Senior High School, 4-6-1 Nakanoshima, Tama Ward, Kawasaki, Kanagawa 214-0012, Japan

2. Department of Mathematics, College of Humanities and Sciences, Nihon University, 3-25-40 Sakurajosui, Setagaya, Tokyo 156-8550, Japan

Abstract

We show that a two-bridge ribbon knot [Formula: see text] with [Formula: see text] and [Formula: see text] admits a symmetric union presentation with partial knot which is a two-bridge knot [Formula: see text]. Similar descriptions for all the other two-bridge ribbon knots are also given.

Publisher

World Scientific Pub Co Pte Ltd

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0218216524500123

Reference8 articles.

1. Lens spaces, rational balls and the ribbon conjecture

2. Progress in Mathematics;Casson A. J.,1986

3. Symmetric union presentations for 2-bridge ribbon knots

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