Tribracket Modules

DOI10.1142/S0129167X20500287zbMath1440.57008arXiv1808.04421MaRDI QIDQ5113347

Yingqi Shi, Sam Nelson, Deanna Needell

Publication date: 4 June 2020

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

Full work available at URL: https://arxiv.org/abs/1808.04421

zbMATH Keywords

enhancementsNiebrzydowski tribracketsoriented knot and link invariantstribracket modules

Mathematics Subject Classification ID

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

Related Items (5)

Psybrackets, pseudoknots and singular knots ⋮ Polynomial invariants of tribrackets in knot theory ⋮ Niebrzydowski algebras and trivalent spatial graphs ⋮ Local biquandles and Niebrzydowski's tribracket theory ⋮ Δ-tribrackets and link homotopy

Uses Software

• Knot Atlas

Cites Work

• Unnamed Item
• Rack module enhancements of counting invariants
• Minimal generating sets of Reidemeister moves
• A classifying invariant of knots, the knot quandle
• From racks to pointed Hopf algebras
• Biquasile colorings of oriented surface-links
• Local biquandles and Niebrzydowski's tribracket theory
• On the Vassiliev knot invariants
• Polynomial birack modules
• Cocycle knot invariants from quandle modules and generalized quandle homology
• Homology of ternary algebras yielding invariants of knots and knotted surfaces
• BIRACK MODULES AND THEIR LINK INVARIANTS
• BIRACK SHADOW MODULES AND THEIR LINK INVARIANTS
• Quandle cohomology and state-sum invariants of knotted curves and surfaces
• Niebrzydowski algebras and trivalent spatial graphs
• Biquasiles and dual graph diagrams
• Virtual tribrackets
• (t, s)-RACKS AND THEIR LINK INVARIANTS
• On some ternary operations in knot theory

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