The colored HOMFLYPT function is q-holonomic

DOI10.1215/00127094-2017-0030zbMath1414.57012arXiv1604.08502OpenAlexW3098486503MaRDI QIDQ1704074

Stavros Garoufalidis, Aaron D. Lauda, Le Ty Kuok Tkhang

Publication date: 8 March 2018

Published in: Duke Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1604.08502

zbMATH Keywords

knotsquantum groupswebsChern-Simons theoryHOMFLYPT polynomialMOY graphsladderssuperpolynomialcolored HOMFLYPT polynomialq-holonomicskew-Howe duality

Mathematics Subject Classification ID

Related Items (20)

\(q\)-holonomic formulas for colored HOMFLY polynomials of 2-bridge links ⋮ HOMFLY polynomials in representation \([3, 1\) for 3-strand braids] ⋮ Factorization of differential expansion for antiparallel double-braid knots ⋮ BPS counting for knots and combinatorics on words ⋮ On webs in quantum type C ⋮ A new symmetry of the colored Alexander polynomial ⋮ Fast computation of the \(N\)-th term of a \(q\)-holonomic sequence and applications ⋮ Braid group actions from categorical symmetric Howe duality on deformed Webster algebras ⋮ Quiver diagonalization and open BPS states ⋮ New structures for colored HOMFLY-PT invariants ⋮ Peacock patterns and resurgence in complex Chern-Simons theory ⋮ Topological strings, strips and quivers ⋮ Quivers for 3-manifolds: the correspondence, BPS states, and 3d \(\mathcal{N} = 2\) theories ⋮ Physics and geometry of knots-quivers correspondence ⋮ Algebra of quantum \(\mathcal{C} \)-polynomials ⋮ On explicit formulae of LMOV invariants ⋮ Tangle addition and the knots‐quivers correspondence ⋮ Implications for colored HOMFLY polynomials from explicit formulas for group-theoretical structure ⋮ Exponential growth of colored HOMFLY-PT homology ⋮ Unnamed Item

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