Biquandle (co)homology and handlebody-links

DOI10.1142/S0218216518430113zbMath1406.57011arXiv1801.07602OpenAlexW2963896084MaRDI QIDQ4692246

Jieon Kim, Masahide Iwakiri, Kanako Oshiro, Shosaku Matsuzaki, Atsushi Ishii, Seiichi Kamada

Publication date: 26 October 2018

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

Full work available at URL: https://arxiv.org/abs/1801.07602

zbMATH Keywords

cocycle invariantsbiquandleshandlebody-links(co)homology groupsmultiple conjugation biquandlesparallel biquandle operations

Mathematics Subject Classification ID

Related Items (1)

Cocycles of \(G\)-Alexander biquandles and \(G\)-Alexander multiple conjugation biquandles

Cites Work

• Unnamed Item
• Homology of left non-degenerate set-theoretic solutions to the Yang-Baxter equation
• A \(G\)-family of quandles and handlebody-knots
• Homology for quandles with partial group operations
• A multiple conjugation quandle and handlebody-knots
• Moves and invariants for knotted handlebodies
• A multiple conjugation biquandle and handlebody-links
• Trunks and classifying spaces
• Quandle cocycles from invariant theory
• BIRACK SHADOW MODULES AND THEIR LINK INVARIANTS
• Quandle Cocycle Invariants for Spatial Graphs and Knotted Handlebodies
• The Markov theorems for spatial graphs and handlebody-knots with Y-orientations
• Quandle cohomology and state-sum invariants of knotted curves and surfaces
• Partially multiplicative biquandles and handlebody-knots
• Homology theory for the set-theoretic Yang–Baxter equation and knot invariants from generalizations of quandles

This page was built for publication: Biquandle (co)homology and handlebody-links