Characterizations of pretzel knots which are simple-ribbon

Tetsuo Shibuya,Tatsuya Tsukamoto,Yoshiaki Uchida,Tsuneo Ishikawa

JOURNAL OF THE MATHEMATICAL SOCIETY OF JAPAN（2023）

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摘要

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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关键词

Alexander polynomials,pretzel knots,simple-ribbon fusions

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