A note on knot fertility. II

DOI10.1007/s10474-023-01317-7arXiv2210.11067OpenAlexW4362620162MaRDI QIDQ6155548

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Publication date: 5 June 2023

Published in: Acta Mathematica Hungarica (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2210.11067

zbMATH Keywords

shadowknotfertilityvariations of Seifert circles

Mathematics Subject Classification ID

Knot theory (57K10) Generalized knots (virtual knots, welded knots, quandles, etc.) (57K12)

Cites Work

• Embedded annuli and Jones' conjecture
• The classification of alternating links
• On the genus of the alternating knot. II
• A spanning tree expansion of the Jones polynomial
• State models and the Jones polynomial
• Jones polynomials and classical conjectures in knot theory
• The minimal number of Seifert circles equals the braid index of a link
• On the Kauffman polynomial of an adequate link
• Kauffman's polynomial and alternating links
• Genus of alternating link types
• Knots of genus one or on the number of alternating knots of given genus
• Bypasses for rectangular diagrams. A proof of the Jones conjecture and related questions
• On fertility of knot shadows
• Seifert circles and knot polynomials
• Jones polynomials and classical conjectures in knot theory. II
• Braids and the Jones Polynomial
• Knot fertility and lineage
• A NOTE ON KNOT FERTILITY
• Minimal genus and fibering of canonical surfaces via disk decomposition
• A quantitative Birman–Menasco finiteness theorem and its application to crossing number

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