Heap and ternary self-distributive cohomology

DOI10.1080/00927872.2020.1871484zbMath1487.18015arXiv1910.02877OpenAlexW2977894676MaRDI QIDQ4994031

Masahico Saito, Mohamed Elhamdadi, Emanuele Zappala

Publication date: 14 June 2021

Published in: Communications in Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1910.02877

zbMATH Keywords

cohomologyheapternary self-distributivity

Mathematics Subject Classification ID

Ternary compositions (17A40) Monoidal categories, symmetric monoidal categories (18M05) Ternary systems (heaps, semiheaps, heapoids, etc.) (20N10)

Related Items

Extensions of augmented racks and surface ribbon cocycle invariants ⋮ Fundamental heap for framed links and ribbon cocycle invariants ⋮ Fundamental heaps for surface ribbons and cocycle invariants ⋮ Unnamed Item ⋮ Quantum invariants of framed links from ternary self-distributive cohomology ⋮ 3-Lie algebras, ternary Nambu-Lie algebras and the Yang-Baxter equation ⋮ Braided Frobenius algebras from certain Hopf algebras

Cites Work

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• On third homologies of groups and of quandles via the Dijkgraaf-Witten invariant and Inoue-Kabaya map
• Torsors, herds and flocks
• Cohomology of categorical self-distributivity
• Operads and motives in deformation quantization
• Quantum torsors
• Ternary and \(n\)-ary \(f\)-distributive structures
• Local biquandles and Niebrzydowski's tribracket theory
• On rack cohomology.
• Schur multipliers and second quandle homology
• Cocycle knot invariants from quandle modules and generalized quandle homology
• Ternary Distributive Structures and Quandles
• Knot-theoretic flocks
• RACKS AND LINKS IN CODIMENSION TWO
• Quandle cohomology and state-sum invariants of knotted curves and surfaces
• Wagner’s Theory of Generalised Heaps
• Higher arity self-distributive operations in Cascades and their cohomology
• Twisted quandle homology theory and cocycle knot invariants