TOPOLOGICAL QUANDLES AND INVARIANTS OF LINKS

DOI10.1142/S0218216507005518zbMath1151.57011arXivmath/0508536MaRDI QIDQ5386836

Ryszard L. Rubinsztein

Publication date: 14 May 2008

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

Full work available at URL: https://arxiv.org/abs/math/0508536

zbMATH Keywords

knot invariantsquandlestopological quandles

Mathematics Subject Classification ID

Braid groups; Artin groups (20F36)

Related Items (17)

A class of Lie racks associated to symmetric Leibniz algebras ⋮ Quandle varieties, generalized symmetric spaces, and \(\phi\)-spaces ⋮ The cocycle structure of the Alexander f-quandles on finite fields ⋮ Topologies, posets and finite quandles ⋮ Topological quandles up to four elements ⋮ Modules over quandle spaces and representations of Lie-Yamaguti algebras ⋮ Continuous cohomology of topological quandles ⋮ Permutations, power operations, and the center of the category of racks ⋮ On the classification of topological quandles ⋮ Longitudinal mapping knot invariant for SU(2) ⋮ Foundations of topological racks and quandles ⋮ Laver's results and low-dimensional topology ⋮ Representations of Gn3 and related groups ⋮ Legendrian Rack Invariants of Legendrian Knots ⋮ QUANDLES ASSOCIATED TO GALOIS COVERS OF ARITHMETIC SCHEMES ⋮ Thesaurus racks: Categorizing rack objects ⋮ Nontrivial topological quandles

Cites Work

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• A classifying invariant of knots, the knot quandle
• Coloring link diagrams with a continuous palette
• Trunks and classifying spaces
• The rack space
• RACKS AND LINKS IN CODIMENSION TWO
• Braids, Links, and Mapping Class Groups. (AM-82)
• James bundles

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