Virtual Yang-Baxter cocycle invariants

DOI10.1090/S0002-9947-09-04751-5zbMath1182.57006arXiv0708.4254MaRDI QIDQ3182537

Sam Nelson, Jose Ceniceros

Publication date: 9 October 2009

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0708.4254

zbMATH Keywords

knotYang-Baxter equationquandlevirtual knotcocycle invariantbiquandlevirtual biquandle

Mathematics Subject Classification ID

Related Items (16)

Cocycle invariants and oriented singular knots ⋮ Parity biquandle invariants of virtual knots ⋮ VIRTUAL SHADOW MODULES AND THEIR LINK INVARIANTS ⋮ Singquandles, psyquandles, and singular knots: A survey ⋮ Augmented biracks and their homology ⋮ Singquandle shadows and singular knot invariants ⋮ Extensions of set-theoretic solutions of the Yang-Baxter equation and a conjecture of Gateva-Ivanova. ⋮ \(N\)-degeneracy in rack homology and link invariants ⋮ Virtual tribrackets ⋮ BIQUANDLES WITH STRUCTURES RELATED TO VIRTUAL LINKS AND TWISTED LINKS ⋮ Virtual link and knot invariants from non-abelian Yang-Baxter 2-cocycle pairs ⋮ Multi-tribrackets ⋮ Legendrian Rack Invariants of Legendrian Knots ⋮ Cocycle enhancements of psyquandle counting invariants ⋮ Polynomial invariants of singular knots and links ⋮ Bowling ball representation of virtual string links

Cites Work

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• Quandle cohomology and state-sum invariants of knotted curves and surfaces
• ABSTRACT LINK DIAGRAMS AND VIRTUAL KNOTS
• Homology theory for the set-theoretic Yang–Baxter equation and knot invariants from generalizations of quandles
• BIQUANDLES FOR VIRTUAL KNOTS
• On bilinear biquandles
• Twisted quandle homology theory and cocycle knot invariants

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