Rational Knots and a Theorem of Kanenobu

DOI10.1080/10586458.2000.10504423zbMath0964.57004OpenAlexW2035495505MaRDI QIDQ4526090

Alexander Stoimenow

Publication date: 13 July 2001

Published in: Experimental Mathematics (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.em/1045604681

zbMATH Keywords

\(Q\)-polynomialJones polynomialrational knot

Mathematics Subject Classification ID

Related Items (2)

The Jones polynomials of three-bridge knots via Chebyshev knots and billiard table diagrams ⋮ On Alexander-Conway polynomials of two-bridge links

Cites Work

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• A polynomial invariant for unoriented knots and links
• A polynomial invariant of oriented links
• A spanning tree expansion of the Jones polynomial
• State models and the Jones polynomial
• Relations between the Jones and Q polynomials for 2-bridge and 3-braid links
• The first 1,701,936 knots
• A polynomial invariant for knots via von Neumann algebras
• A new polynomial invariant of knots and links
• Seifert circles and knot polynomials
• The growth of the number of prime knots
• On the Braid Index of Alternating Links
• On closed 3-braids
• An Invariant of Regular Isotopy
• Homogeneous Links
• On a Certain Subgroup of the Group of an Alternating Link

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