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<p>We show, for every positive integer <i>n</i>, there is an alternating knot having a boundary slope with denominator <i>n</i>. We make use of Kabaya’s method for boundary slopes and the layered solid torus construction introduced by Jaco and Rubinstein and further developed by Howie et al.</p>

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Non-integral boundary slopes of alternating knots

  • 期刊论文

  • 发表日期：

    2025年1月25日

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  • Masaharu Ishikawa,
  • Thomas W. Mattman,
  • Koya Shimokawa

摘要

We show, for every positive integer n, there is an alternating knot having a boundary slope with denominator n. We make use of Kabaya’s method for boundary slopes and the layered solid torus construction introduced by Jaco and Rubinstein and further developed by Howie et al.