A stability conjecture for the colored Jones polynomial

zbMath1359.57010arXiv1310.7143MaRDI QIDQ2954188

Stavros Garoufalidis, Thao Vuong

Publication date: 12 January 2017

Full work available at URL: https://arxiv.org/abs/1310.7143

zbMATH Keywords

stability\(q\)-seriesknotslinkssimple Lie algebrastorus knotscolored Jones polynomialrecurrent sequencesgeneralized exponential sums\(c\)-stability\(q\)-holonomic sequencesJones-Ross formulaplethysm multiplicity

Mathematics Subject Classification ID

Related Items (10)

The one-row-colored 𝔰𝔩3 Jones polynomials for pretzel links ⋮ A 𝑞-series identity via the 𝔰𝔩₃ colored Jones polynomials for the (2,2𝔪)-torus link ⋮ \(W\)-algebras, higher rank false theta functions, and quantum dimensions ⋮ 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 ⋮ Stability properties of the colored Jones polynomial ⋮ Higher depth quantum modular forms, multiple Eichler integrals, and \(\mathfrak{sl}_3\) false theta functions ⋮ The 𝑆𝐿₃ colored Jones polynomial of the trefoil ⋮ Colored Jones polynomials without tails ⋮ Coloured \(\mathfrak{sl}_r\) invariants of torus knots and characters of \(\mathcal{W}_r\) algebras

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