Characterizations of pretzel knots which are simple-ribbon

Tetsuo Shibuya; Tatsuya Tsukamoto; Yoshiaki Uchida; Tsuneo Ishikawa

doi:10.2969/jmsj/89438943

Journal of the Mathematical Society of Japan

Online ISSN : 1881-1167
Print ISSN : 0025-5645
ISSN-L : 0025-5645

Characterizations of pretzel knots which are simple-ribbon

Tetsuo Shibuya, Tatsuya Tsukamoto, Yoshiaki Uchida, Tsuneo Ishikawa

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

JOURNAL RESTRICTED ACCESS

2023 Volume 75 Issue 4 Pages 1431-1447

DOI https://doi.org/10.2969/jmsj/89438943

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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.

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