Virtual tribrackets

DOI10.1142/S0218216519500263zbMath1426.57029arXiv1803.03210WikidataQ128347258 ScholiaQ128347258MaRDI QIDQ5377167

Sam Nelson, Shane Pico

Publication date: 23 May 2019

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

Full work available at URL: https://arxiv.org/abs/1803.03210

zbMATH Keywords

virtual knots and linksbiquasilestribracketsvirtual biquasilesvirtual tribrackets

Mathematics Subject Classification ID

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

Related Items

Psybrackets, pseudoknots and singular knots ⋮ Polynomial invariants of tribrackets in knot theory ⋮ An invariant of virtual trivalent spatial graphs ⋮ Tribracket Modules ⋮ Niebrzydowski algebras and trivalent spatial graphs ⋮ Local biquandles and Niebrzydowski's tribracket theory ⋮ Knot-theoretic ternary groups ⋮ Multi-tribrackets ⋮ Quandles, quasoids and projections ⋮ Δ-tribrackets and link homotopy

Uses Software

• Knot Atlas

Cites Work

• What is a virtual link?
• Biquasile colorings of oriented surface-links
• On the Vassiliev knot invariants
• Virtual knot theory
• Homology of ternary algebras yielding invariants of knots and knotted surfaces
• Virtual Yang-Baxter cocycle invariants
• Virtual biquandles
• An Orientation-Sensitive Vassiliev Invariant for Virtual Knots
• ABSTRACT LINK DIAGRAMS AND VIRTUAL KNOTS
• STABLE EQUIVALENCE OF KNOTS ON SURFACES AND VIRTUAL KNOT COBORDISMS
• Boltzmann enhancements of biquasile counting invariants
• Biquasiles and dual graph diagrams
• On some ternary operations in knot theory