Cyclotomic invariants for links

DOI10.3792/PJAA.64.235zbMath0668.57013OpenAlexW1997678973MaRDI QIDQ1118206

Tsuyoshi Kobayashi, Hitoshi Murakami, Jun Murakami

Publication date: 1988

Published in: Proceedings of the Japan Academy. Series A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3792/pjaa.64.235

zbMATH Keywords

cyclotomic invariantsJones polynomialKauffman polynomiallink diagramGoeritz matrixSeifert matrixBetti number of double coveringN-state IRF- modelQ-polynomial

Mathematics Subject Classification ID

Related Items (8)

Spin models on finite cyclic groups ⋮ Representation of the category of tangles by Kontsevich's iterated integral ⋮ Modular invariance property and spin models attached to cyclic group association schemes ⋮ Localization of unitary braid group representations ⋮ On a certain value of the Kauffman polynomial ⋮ New link invariant from the chiral Potts model ⋮ Three-dimensional integrable models and associated tangle invariants. ⋮ Knot invariants associated with a particular \(N\to\infty\) continuous limit of the Baxter-Bazhanov model.

Cites Work

• Unnamed Item
• On the Goertiz matrix of a link
• A polynomial invariant for unoriented knots and links
• A recursive calculation of the Arf invariant of a link
• Some evaluations of link polynomials
• A polynomial invariant for knots via von Neumann algebras
• An evaluation of a link polynomial
• An Invariant of Regular Isotopy
• Knots

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