POLYNOMIAL COCYCLES OF ALEXANDER QUANDLES AND APPLICATIONS

DOI10.1142/S0218216509006938zbMath1187.57003arXiv0704.3995OpenAlexW2964303898MaRDI QIDQ3628091

Masahico Saito, Kheira Ameur

Publication date: 19 May 2009

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

Full work available at URL: https://arxiv.org/abs/0704.3995

zbMATH Keywords

quandle cohomologycocycle invariantsAlexander quandles

Mathematics Subject Classification ID

Other homology theories in algebraic topology (55N35)

Related Items (2)

THE THIRD COHOMOLOGY GROUPS OF DIHEDRAL QUANDLES ⋮ Higher arity self-distributive operations in Cascades and their cohomology

Uses Software

• Maple

Cites Work

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• A classifying invariant of knots, the knot quandle
• Some calculations of cohomology groups of finite Alexander quandles
• An estimate of the triple point numbers of surface-knots by quandle cocycle invariants
• DISTRIBUTIVE GROUPOIDS IN KNOT THEORY
• RACKS AND LINKS IN CODIMENSION TWO
• Quandle cohomology and state-sum invariants of knotted curves and surfaces
• GEOMETRIC INTERPRETATIONS OF QUANDLE HOMOLOGY
• AN INFINITE FAMILY OF NON-INVERTIBLE SURFACES IN 4-SPACE
• James bundles
• Twisted quandle homology theory and cocycle knot invariants

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