Algebraic properties of quandle extensions and values of cocycle knot invariants

DOI10.1142/S0218216516500802zbMath1361.57005arXiv1603.06020MaRDI QIDQ2954326

Masahico Saito, W. Edwin Clark

Publication date: 12 January 2017

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

Full work available at URL: https://arxiv.org/abs/1603.06020

zbMATH Keywords

quandleabelian extensionquandle cocycle invariant

Mathematics Subject Classification ID

Related Items (10)

Classification of flat connected quandles ⋮ Multi-switches and virtual knot invariants ⋮ Automorphism groups of quandles arising from groups ⋮ Automorphism groups of quandles and related groups ⋮ Extensions of augmented racks and surface ribbon cocycle invariants ⋮ Quandles with orbit series conditions ⋮ Principal and doubly homogeneous quandles ⋮ Quandle cohomology, extensions and automorphisms ⋮ General constructions of biquandles and their symmetries ⋮ Computations of quandle 2-cocycle knot invariants without explicit 2-cocycles

Uses Software

• RiG
• GitHub

Cites Work

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• RACKS AND LINKS IN CODIMENSION TWO
• Quandle cohomology and state-sum invariants of knotted curves and surfaces
• Extensions of Quandles and Cocycle Knot Invariants
• GEOMETRIC INTERPRETATIONS OF QUANDLE HOMOLOGY
• Computations of quandle cocycle invariants of knotted curves and surfaces
• Quandle homology groups, their Betti numbers, and virtual knots

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