The 3-cocycles of the Alexander quandles \(\mathbb F_q[T]/(T-\omega)\)

DOI10.2140/agt.2005.5.183zbMath1085.55004arXivmath/0210419OpenAlexW3122784519MaRDI QIDQ2571343

Takuro Mochizuki

Publication date: 1 November 2005

Published in: Algebraic \& Geometric Topology (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0210419

zbMATH Keywords

quandle cohomologyAlexander quandles

Mathematics Subject Classification ID

Related Items (12)

An estimate of the triple point numbers of surface-knots by quandle cocycle invariants ⋮ The cocycle structure of the Alexander f-quandles on finite fields ⋮ On 4-cocycles of Alexander quandles on finite fields ⋮ Quandle cocycles from invariant theory ⋮ Quandle homotopy invariants of knotted surfaces ⋮ On third homologies of groups and of quandles via the Dijkgraaf-Witten invariant and Inoue-Kabaya map ⋮ Homotopical interpretation of link invariants from finite quandles ⋮ THE THIRD COHOMOLOGY GROUPS OF DIHEDRAL QUANDLES ⋮ COLORINGS OF TORUS KNOTS AND THEIR TWIST-SPUNS BY ALEXANDER QUANDLES OVER FINITE FIELDS ⋮ Automorphism groups of Alexander quandles. ⋮ THE ALGEBRA OF RACK AND QUANDLE COHOMOLOGY ⋮ On quandle homology groups of Alexander quandles of prime order

Cites Work

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• On rack cohomology.
• Some calculations of cohomology groups of finite Alexander quandles
• Quandle cohomology and state-sum invariants of knotted curves and surfaces
• The 2-twist-spun trefoil has the triple point number four
• Computations of quandle cocycle invariants of knotted curves and surfaces
• Quandle homology groups, their Betti numbers, and virtual knots

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