Universal cocycle invariants for singular knots and links

DOI10.1142/S0218216522500559zbMath1503.57007arXiv1910.04042OpenAlexW2980144956MaRDI QIDQ5101944

Juliana García Galofre, Marco Andrés Farinati

Publication date: 5 September 2022

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

Full work available at URL: https://arxiv.org/abs/1910.04042

zbMATH Keywords

singular knotscocycle invariantsnon commutative cocycles

Mathematics Subject Classification ID

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

Cites Work

• Semiquandles and flat virtual knots
• Psyquandles, singular knots and pseudoknots
• Virtual link and knot invariants from non-abelian Yang-Baxter 2-cocycle pairs
• Cocycle knot invariants from quandle modules and generalized quandle homology
• Link and knot invariants from non-abelian Yang–Baxter 2-cocycles
• Quandle cohomology and state-sum invariants of knotted curves and surfaces
• Singular knots and involutive quandles
• Generating sets of Reidemeister moves of oriented singular links and quandles
• Homology theory for the set-theoretic Yang–Baxter equation and knot invariants from generalizations of quandles
• Cocycle enhancements of psyquandle counting invariants