Coloured \(\mathfrak{sl}_r\) invariants of torus knots and characters of \(\mathcal{W}_r\) algebras

DOI10.1007/s11005-022-01628-wOpenAlexW4313480435MaRDI QIDQ2112247

Shashank Kanade

Publication date: 9 January 2023

Published in: Letters in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2207.03685

zbMATH Keywords

vertex operator algebrastorus knotsJones invariants\(W\) algebras

Mathematics Subject Classification ID

Vertex operators; vertex operator algebras and related structures (17B69) Knot polynomials (57K14)

Cites Work

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• The head and tail conjecture for alternating knots
• Rationality of \(W\)-algebras: principal nilpotent cases
• \(q\)-series and tails of colored Jones polynomials
• Rogers-Ramanujan type identities for alternating knots
• Congruence property in conformal field theory
• Torus knot and minimal model
• Twist formulas for one-row colored \(A_2\) webs and \(\mathfrak{sl}_3\) tails of \((2,2m)\)-torus links
• Representations of rational Cherednik algebras with minimal support and torus knots.
• Nahm sums, stability and the colored Jones polynomial
• The 𝑆𝐿₃ colored Jones polynomial of the trefoil
• The head and tail of the colored Jones polynomial for adequate knots
• A stability conjecture for the colored Jones polynomial
• Cylindric partitions, ${{\boldsymbol{ \mathcal W }}}_{r}$ characters and the Andrews–Gordon–Bressoud identities
• On the Hecke algebras and the colored HOMFLY polynomial
• 𝒲-Algebras, False Theta Functions and Quantum Modular Forms, I
• Associated Varieties of Modules Over Kac-Moody Algebras and C2-Cofiniteness of W-Algebras
• Geometrical relations and plethysms in the Homfly skein of the annulus
• An A₂ Bailey lemma and Rogers-Ramanujan-type identities
• Higher order stability in the coefficients of the colored Jones polynomial
• A 𝑞-series identity via the 𝔰𝔩₃ colored Jones polynomials for the (2,2𝔪)-torus link
• DIFFERENCE EQUATION OF THE COLORED JONES POLYNOMIAL FOR TORUS KNOT
• The coloured Jones function and Alexander polynomial for torus knots
• Modular invariance of characters of vertex operator algebras
• On the 2-head of the colored Jones polynomial for pretzel knots
• Cylindric partitions and some new $A_2$ Rogers–Ramanujan identities
• ON THE INVARIANTS OF TORUS KNOTS DERIVED FROM QUANTUM GROUPS
• On the head and the tail of the colored Jones polynomial
• Cylindric Partitions

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