THE SECOND QUANDLE HOMOLOGY OF THE TAKASAKI QUANDLE OF AN ODD ABELIAN GROUP IS AN EXTERIOR SQUARE OF THE GROUP

DOI10.1142/S0218216511008693zbMath1259.55003arXiv1006.0258MaRDI QIDQ3085271

Józef H. Przytycki, Maciej Niebrzydowski

Publication date: 31 March 2011

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

Full work available at URL: https://arxiv.org/abs/1006.0258

zbMATH Keywords

exterior productquandle homologyTakasaki quandle

Mathematics Subject Classification ID

Other homology theories in algebraic topology (55N35)

Related Items

Quandle colorings of knots and applications, Abelian quandles and quandles with abelian structure group, Homology of distributive lattices, Quandle homotopy invariants of knotted surfaces, Schur multipliers and second quandle homology, On the rack homology of graphic quandles, Distributivity versus associativity in the homology theory of algebraic structures, ON QUOTIENT STRUCTURE OF TAKASAKI QUANDLES

Cites Work

• Homology operations on homology of quandles
• Homology of dihedral quandles
• A classifying invariant of knots, the knot quandle
• Homological characterization of the unknot
• State-sum invariants of knotted curves and surfaces from quandle cohomology