BIKEI, INVOLUTORY BIRACKS AND UNORIENTED LINK INVARIANTS

DOI10.1142/S0218216511009972zbMath1248.57008arXiv1102.1473OpenAlexW2963660174MaRDI QIDQ5388104

Sam Nelson, Sinan G. Aksoy

Publication date: 17 April 2012

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

Full work available at URL: https://arxiv.org/abs/1102.1473

zbMATH Keywords

Yang-Baxter equationenhancements of counting invariantsbiquandlesunoriented link invariants

Mathematics Subject Classification ID

Related Items (6)

Twisted virtual bikeigebras and twisted virtual handlebody-knots ⋮ Bikei module invariants of unoriented surface-links ⋮ Niebrzydowski algebras and trivalent spatial graphs ⋮ Symmetric enhancements of involutory virtual birack counting invariants ⋮ Virtual links with finite medial bikei ⋮ Bikei invariants and gauss diagrams for virtual knotted surfaces

Cites Work

• Matrices and finite biquandles
• Biquandles and virtual links
• Trunks and classifying spaces
• Symbolic computation with finite biquandles
• QUATERNIONIC INVARIANTS OF VIRTUAL KNOTS AND LINKS
• QUATERNION ALGEBRAS AND INVARIANTS OF VIRTUAL KNOTS AND LINKS II: THE HYPERBOLIC CASE
• RACKS AND LINKS IN CODIMENSION TWO
• Quandle cohomology and state-sum invariants of knotted curves and surfaces
• The equation [B,(A-1)(A,B)=0 and virtual knots and links]
• Homology theory for the set-theoretic Yang–Baxter equation and knot invariants from generalizations of quandles

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