Infinitely many knots with the trivial (2,1)-cable Γ-polynomial

DOI10.1142/S021821651850013XzbMath1386.57015OpenAlexW2780056088MaRDI QIDQ4606542

Hideo Takioka

Publication date: 8 March 2018

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

Full work available at URL: https://doi.org/10.1142/s021821651850013x

zbMATH Keywords

\(Q\)-polynomialJones polynomialKauffman polynomialHOMFLYPT polynomialcable knotAlexander-Conway polynomial\(\Gamma\)-polynomial

Mathematics Subject Classification ID

Related Items (3)

Vassiliev knot invariants derived from cable \(\Gamma \)-polynomials ⋮ The (2,1)-cable Γ-polynomials of knots up to ten crossings ⋮ Infinitely many knots whose Whitehead doubles have the trivial first coefficient Kauffman polynomial

Uses Software

• KnotInfo

Cites Work

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• The cable \(\Gamma\)-polynomials of mutant knots
• Unknotting number one knots are prime
• Examples on polynomial invariants of knots and links
• A polynomial invariant for unoriented knots and links
• Gauge theory for embedded surfaces. I
• Links with trivial \(Q\)-polynomial
• A skein relation for the HOMFLYPT polynomials of two-cable links
• Über eine numerische Knoteninvariante
• Gamma-polynomial and its generalization to a 2-string tangle polynomial
• On the arc index of Kanenobu knots
• On the arc index of cable links and Whitehead doubles
• A polynomial invariant for knots via von Neumann algebras
• A new polynomial invariant of knots and links
• On the Degree of the Brandt-Lickorish-Millett-Ho Polynomial of a Link
• Invariants of links of Conway type
• An Invariant of Regular Isotopy
• Polynomials for Links
• THE ZEROTH COEFFICIENT HOMFLYPT POLYNOMIAL OF A 2-CABLE KNOT
• On the braid index of Kanenobu knots II
• On the Braid Index of Kanenobu Knots

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