The 𝑆𝐿₃ colored Jones polynomial of the trefoil

DOI10.1090/S0002-9939-2013-11582-0zbMath1271.57036arXiv1010.3147OpenAlexW3126037225MaRDI QIDQ2838979

Stavros Garoufalidis, Hugh R. Morton, Thao Vuong

Publication date: 4 July 2013

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1010.3147

zbMATH Keywords

knotstorus knotsplethysmcolored Jones polynomialWitten-Reshetikhin-Turaev invariantsdegree conjecturetrefoilrank 2 Lie algebras

Mathematics Subject Classification ID

Related Items (8)

The one-row-colored 𝔰𝔩3 Jones polynomials for pretzel links ⋮ Three-dimensional extensions of the Alday-Gaiotto-Tachikawa relation ⋮ On the multiplicity-free plethysms \(p_{2}[s_\lambda\)] ⋮ On the expansion of the multiplicity-free plethysms $ p_{2}[s_{(a, b)} $ and $ p_{2}[s_{(1^{r}, 2^{t})}] $] ⋮ The \(\mathfrak {sl}_{3}\) Jones polynomial of the trefoil: a case study of \(q\)-holonomic sequences ⋮ Twist formulas for one-row colored \(A_2\) webs and \(\mathfrak{sl}_3\) tails of \((2,2m)\)-torus links ⋮ Coloured \(\mathfrak{sl}_r\) invariants of torus knots and characters of \(\mathcal{W}_r\) algebras ⋮ The 𝔰𝔩3 colored Jones polynomials for 2-bridge links

Uses Software

• Knot Atlas

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• The \(\mathfrak {sl}_{3}\) Jones polynomial of the trefoil: a case study of \(q\)-holonomic sequences
• Hecke algebra representations of braid groups and link polynomials
• The Yang-Baxter equation and invariants of links
• Formulas for the expansion of the plethysms \(s_ 2[s_{(a,b)}\) and \(s_ 2[s_{(n^ k)}]\).]
• The PSU(3) invariant of the Poincaré homology sphere
• A stability conjecture for the colored Jones polynomial
• Geometrical relations and plethysms in the Homfly skein of the annulus
• The coloured Jones function and Alexander polynomial for torus knots
• ON THE INVARIANTS OF TORUS KNOTS DERIVED FROM QUANTUM GROUPS
• Quantum invariants of knots and 3-manifolds

This page was built for publication: The 𝑆𝐿₃ colored Jones polynomial of the trefoil