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math.GTNov 19, 2019
authors
  • Masaharu Ishikawa
  • Thomas W. Mattman
  • Kazuya Namiki
  • Koya Shimokawa
institutions
  • California State University, Chico
  • Saitama University
arXiv abstractPDF
paper

Alternating knots with large boundary slope diameter

arXiv:1911.08562

Abstract

We show that, for an alternating knot, the ratio of the diameter of the set of boundary slopes to the crossing number can be arbitrarily large.

arXiv comment10 pages, 9 figures

References in corpus (2)

  • The Jones polynomial and boundary slopes of alternating knots
  • Boundary slopes of some non-Montesinos knots
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