The quandle of the trefoil knot as the Dehn quandle of the torus

zbMath1193.57004arXiv0805.2743MaRDI QIDQ1043681

Józef H. Przytycki, Maciej Niebrzydowski

Publication date: 9 December 2009

Published in: Osaka Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0805.2743

zbMATH Keywords

quandlescord quandlesDehn quandlessymplectic quandles

Mathematics Subject Classification ID

General low-dimensional topology (57M99) General nonassociative rings (17A99)

Related Items (8)

Homology operations on homology of quandles ⋮ Presentations of Dehn quandles ⋮ Dehn quandles of groups and orientable surfaces ⋮ The knot quandle of the twist-spun trefoil is a central extension of a Schläfli quandle ⋮ Homology of distributive lattices ⋮ Laver's results and low-dimensional topology ⋮ Qualgebras and knotted 3-valent graphs ⋮ Distributivity versus associativity in the homology theory of algebraic structures

Cites Work

• Unnamed Item
• On symplectic quandles
• A classifying invariant of knots, the knot quandle
• Homological characterization of the unknot
• DISTRIBUTIVE GROUPOIDS IN KNOT THEORY
• RACKS AND LINKS IN CODIMENSION TWO
• Braids, Links, and Mapping Class Groups. (AM-82)
• LOOPS AND DISKS IN SURFACES AND HANDLEBODIES
• Quandles and Monodromy
• James bundles
• Burnside kei
• An algebraic condition to determine whether a knot is prime

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