A table of twisted knots with crossing number 3

zbMath1522.57025MaRDI QIDQ6046549

Akinobu Shimizu, Naoko Kamada, Kaori Okubo, Shigeto Kawata

Publication date: 11 May 2023

Published in: Osaka Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/journals/osaka-journal-of-mathematics/volume-60/issue-2/A-table-of-twisted-knots-with-crossing-number-3/5414ojm.full

zbMATH Keywords

invariantvirtual knottwisted knottwisted numbertwisted quandle

Mathematics Subject Classification ID

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

Cites Work

• Polynomial invariants and quandles of twisted links
• On the Jones polynomials of checkerboard colorable virtual links
• Twisted link theory
• A classifying invariant of knots, the knot quandle
• What is a virtual link?
• Virtual knot theory
• Double coverings of twisted links
• VIRTUAL CROSSING NUMBER AND THE ARROW POLYNOMIAL
• DISTRIBUTIVE GROUPOIDS IN KNOT THEORY
• ABSTRACT LINK DIAGRAMS AND VIRTUAL KNOTS
• STABLE EQUIVALENCE OF KNOTS ON SURFACES AND VIRTUAL KNOT COBORDISMS
• BIQUANDLES WITH STRUCTURES RELATED TO VIRTUAL LINKS AND TWISTED LINKS
• Virtual links which are equivalent as twisted links
• A MULTI-VARIABLE POLYNOMIAL INVARIANT FOR UNORIENTED VIRTUAL KNOTS AND LINKS
• A twisted link invariant derived from a virtual link invariant

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