Virtual link and knot invariants from non-abelian Yang-Baxter 2-cocycle pairs

zbMath1503.57006arXiv1707.02250MaRDI QIDQ2272800

Juliana García Galofre, Marco Andrés Farinati

Publication date: 20 September 2019

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

Full work available at URL: https://arxiv.org/abs/1707.02250

zbMATH Keywords

Reidemeister movesvirtual links

Mathematics Subject Classification ID

Generalized knots (virtual knots, welded knots, quandles, etc.) (57K12) Higher-dimensional knots and links (57K45)

Related Items

Universal cocycle invariants for singular knots and links

Uses Software

• RiG

Cites Work

• Braces, radical rings, and the quatum Yang-Baxter equation.
• A classifying invariant of knots, the knot quandle
• Finite-type invariants of classical and virtual knots
• Virtual knot theory
• Cocycle knot invariants from quandle modules and generalized quandle homology
• ON THE CLASSIFICATION OF QUANDLES OF LOW ORDER
• Link and knot invariants from non-abelian Yang–Baxter 2-cocycles
• Virtual Yang-Baxter cocycle invariants
• TOWARD A CLASSIFICATION OF FINITE QUANDLES
• A self-linking invariant of virtual knots
• BIQUANDLES OF SMALL SIZE AND SOME INVARIANTS OF VIRTUAL AND WELDED KNOTS