On the Links–Gould Invariant of Links
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Publication:4268010
DOI10.1142/S0218216599000110zbMath0934.57005arXivmath/9811128MaRDI QIDQ4268010
Louis H. Kauffman, David De Wit, J. R. Links
Publication date: 20 December 1999
Published in: Journal of Knot Theory and Its Ramifications (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/math/9811128
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Related Items (17)
Automatic Evaluation of the Links–Gould Invariant for all Prime Knots of up to 10 Crossings ⋮ A relation between the LG polynomial and the Kauffman polynomial ⋮ Multivariable link invariants arising from \(\mathfrak {sl}(2|1)\) and the Alexander polynomial ⋮ THE 2-BRIDGE KNOTS OF UP TO 16 CROSSINGS ⋮ WHERE THE LINKS–GOULD INVARIANT FIRST FAILS TO DISTINGUISH NONMUTANT PRIME KNOTS ⋮ A cubic defining algebra for the Links-Gould polynomial ⋮ A skein relation for the HOMFLYPT polynomials of two-cable links ⋮ A combinatorial description of the centralizer algebras connected to the Links-Gould invariant ⋮ Twisting invariance of link polynomials derived from ribbon quasi-Hopf algebras ⋮ Representations of a \(\mathbb Z/ 3\mathbb Z\)-quantum group ⋮ The Links–Gould Invariant as a Classical Generalization of the Alexander Polynomial? ⋮ On the Links–Gould invariant and the square of the Alexander polynomial ⋮ THE LINKS–GOULD INVARIANT OF CLOSED 3-BRAIDS ⋮ Link Invariants Associated with Gauge Equivalent Solutions of the Yang–Baxter Equation: The One-Parameter Family of Minimal Typical Representations of Uq[gl(2|1)] ⋮ Infinitely many two-variable generalisations of the Alexander-Conway polynomial ⋮ The Kontsevich integral and quantized Lie superalgebras ⋮ Automatic construction of explicit R matrices for the one-parameter families of irreducible typical highest weight (\(\dot 0_m| \dot \alpha_n\)) representations of \(U_q[gl(m| n)\)]
Cites Work
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- Hecke algebra representations of braid groups and link polynomials
- Linear skein theory and link polynomials
- The Yang-Baxter equation and invariants of links
- Quantum group invariants and link polynomials
- Universal \(R\)-matrix for quantized (super)algebras
- Two variable link polynomials from quantum supergroups
- On the Vassiliev knot invariants
- Ribbon graphs and their invariants derived from quantum groups
- Über das Geschlecht von Knoten
- Non-invertible knots exist
- A polynomial invariant for knots via von Neumann algebras
- New Invariants in the Theory of Knots
- Equivalence of Cables Of Mutants of Knots
- QUANTUM SUPERGROUPS, LINK POLYNOMIALS AND REPRESENTATION OF THE BRAID GENERATOR
- QUANTUM SUPERGROUPS AND TOPOLOGICAL INVARIANTS OF THREE-MANIFOLDS
- DISTINGUISHING MUTANTS BY KNOT POLYNOMIALS
- Type-I quantum superalgebras, q-supertrace, and two-variable link polynomials
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