October, 2023 Characterizations of pretzel knots which are simple-ribbon
Tetsuo SHIBUYA, Tatsuya TSUKAMOTO, Yoshiaki UCHIDA, Tsuneo ISHIKAWA
Author Affiliations +
J. Math. Soc. Japan 75(4): 1431-1447 (October, 2023). DOI: 10.2969/jmsj/89438943

Abstract

We give a recursive formula for the Alexander polynomials of pretzel knots with a pair of integer parameters with opposite signs. Using the formula, we characterize certain pretzel knots which are simple-ribbon.

Funding Statement

This work was supported by JSPS KAKENHI Grant Numbers JP16K05162 and JP19K21621.

Citation

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Tetsuo SHIBUYA. Tatsuya TSUKAMOTO. Yoshiaki UCHIDA. Tsuneo ISHIKAWA. "Characterizations of pretzel knots which are simple-ribbon." J. Math. Soc. Japan 75 (4) 1431 - 1447, October, 2023. https://doi.org/10.2969/jmsj/89438943

Information

Received: 8 May 2022; Published: October, 2023
First available in Project Euclid: 14 June 2023

Digital Object Identifier: 10.2969/jmsj/89438943

Subjects:
Primary: 57K10
Secondary: 57K14

Keywords: Alexander polynomials , pretzel knots , simple-ribbon fusions

Rights: Copyright ©2023 Mathematical Society of Japan

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Vol.75 • No. 4 • October, 2023
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