THE LINKS–GOULD INVARIANT OF CLOSED 3-BRAIDS

DOI10.1142/S0218216504003032zbMath1050.57007MaRDI QIDQ4472808

Atsushi Ishii

Publication date: 1 July 2004

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

Mathematics Subject Classification ID

Related Items (5)

A relation between the LG polynomial and the Kauffman polynomial ⋮ WHERE THE LINKS–GOULD INVARIANT FIRST FAILS TO DISTINGUISH NONMUTANT PRIME KNOTS ⋮ A cubic defining algebra for the Links-Gould polynomial ⋮ A combinatorial description of the centralizer algebras connected to the Links-Gould invariant ⋮ Infinitely many two-variable generalisations of the Alexander-Conway polynomial

Uses Software

• Maple

Cites Work

• A q-difference analogue of \(U({\mathfrak g})\) and the Yang-Baxter equation
• The Yang-Baxter equation and invariants of links
• Two variable link polynomials from quantum supergroups
• A polynomial invariant for knots via von Neumann algebras
• A new polynomial invariant of knots and links
• INVARIANTS OF COLORED LINKS
• On the Links–Gould Invariant of Links
• Automatic Evaluation of the Links–Gould Invariant for all Prime Knots of up to 10 Crossings
• Knot Invariants and the Critical Statistical Systems
• Exactly Solvable Models and New Link Polynomials. I. N-State Vertex Models
• Exactly Solvable Models and New Link Polynomials. II. Link Polynomials for Closed 3-Braids
• Exactly Solvable Models and New Link Polynomials. III. Two-Variable Topological Invariants

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