BIQUANDLES OF SMALL SIZE AND SOME INVARIANTS OF VIRTUAL AND WELDED KNOTS

DOI10.1142/S0218216511009042zbMath1226.57006arXiv1001.5127OpenAlexW2963518811MaRDI QIDQ5198409

Andrew Bartholomew, Roger Fenn

Publication date: 8 August 2011

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

Full work available at URL: https://arxiv.org/abs/1001.5127

zbMATH Keywords

quandlerackbirackbiquandlevirtual and welded knot

Mathematics Subject Classification ID

Related Items (8)

Link and knot invariants from non-abelian Yang–Baxter 2-cocycles ⋮ Enumeration of set-theoretic solutions to the Yang–Baxter equation ⋮ Multi-switches and virtual knot invariants ⋮ The retraction relation for biracks ⋮ BIQUANDLES WITH STRUCTURES RELATED TO VIRTUAL LINKS AND TWISTED LINKS ⋮ Virtual link and knot invariants from non-abelian Yang-Baxter 2-cocycle pairs ⋮ Erratum: Biquandles of small size and some invariants of virtual and welded knots ⋮ Virtually symmetric representations and marked Gauss diagrams

Cites Work

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• Biquandles and virtual links
• Virtual knot theory
• The Burau representation is not faithful for \(n=5\)
• Matrices and finite quandles
• Virtual knot theory–-unsolved problems
• ON AXIOMS OF BIQUANDLES
• QUATERNIONIC INVARIANTS OF VIRTUAL KNOTS AND LINKS
• QUATERNION ALGEBRAS AND INVARIANTS OF VIRTUAL KNOTS AND LINKS I: THE ELLIPTIC CASE
• DISTRIBUTIVE GROUPOIDS IN KNOT THEORY
• FORBIDDEN MOVES UNKNOT A VIRTUAL KNOT
• UNKNOTTING VIRTUAL KNOTS WITH GAUSS DIAGRAM FORBIDDEN MOVES
• The equation [B,(A-1)(A,B)=0 and virtual knots and links]
• Generalised Biquandles for Generalised Knot Theories

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