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The average genus of oriented rational links with a given crossing number

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Publication:5883166
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DOI10.1142/S0218216523500104MaRDI QIDQ5883166

Yuanan Diao, Dawn Ray

Publication date: 29 March 2023

Published in: Journal of Knot Theory and Its Ramifications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2204.12538


zbMATH Keywords

rational knotsSeifert circleaverage genusrational linksSeifert circle decompositionaverage genus of knots/links


Mathematics Subject Classification ID

Knot theory (57K10) Invariants of 3-manifolds (including skein modules, character varieties) (57K31)


Related Items (1)

A lower bound on the average genus of a 2-bridge knot


Uses Software

  • OEIS



Cites Work

  • Genera of the alternating links
  • The growth of the number of prime knots
  • The number of oriented rational links with a given deficiency number
  • Unnamed Item
  • Unnamed Item




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