Continuous cohomology of topological quandles

DOI10.1142/S0218216519500366zbMath1432.57011arXiv1803.07604OpenAlexW3100779554WikidataQ128310305 ScholiaQ128310305MaRDI QIDQ5378502

Mohamed Elhamdadi, Emanuele Zappala, Masahico Saito

Publication date: 31 May 2019

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

Full work available at URL: https://arxiv.org/abs/1803.07604

zbMATH Keywords

inverse limitsquandle cohomologycontinuous cocyclestopological quandlesquandle extensions

Mathematics Subject Classification ID

Nonabelian homological algebra (category-theoretic aspects) (18G50) Other topological algebraic systems and their representations (22A30) Knot theory (57K10) Invariants of 3-manifolds (including skein modules, character varieties) (57K31)

Related Items (2)

Topologies, posets and finite quandles ⋮ Embeddings of quandles into groups

Cites Work

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• A \(G\)-family of quandles and handlebody-knots
• Remarks on the Cauchy functional equation and variations of it
• A classifying invariant of knots, the knot quandle
• From racks to pointed Hopf algebras
• On the classification of topological quandles
• Trunks and classifying spaces
• Foundations of topological racks and quandles
• DISTRIBUTIVE GROUPOIDS IN KNOT THEORY
• Continuous cohomology of groups and classifying spaces
• Quandle cohomology and state-sum invariants of knotted curves and surfaces
• Extensions of Quandles and Cocycle Knot Invariants
• Homology theory for the set-theoretic Yang–Baxter equation and knot invariants from generalizations of quandles
• Longitudinal mapping knot invariant for SU(2)
• THE THIRD COHOMOLOGY GROUPS OF DIHEDRAL QUANDLES
• TOPOLOGICAL QUANDLES AND INVARIANTS OF LINKS
• Quandle coverings and their Galois correspondence
• Twisted quandle homology theory and cocycle knot invariants

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