Interplay between Macdonald and Hall-Littlewood expansions of extended torus superpolynomials

DOI10.1007/JHEP05(2012)070zbMath1348.81391arXiv1201.3339MaRDI QIDQ332285

Mohammad Hasan, M. Dambrine

Publication date: 7 November 2016

Published in: Journal of High Energy Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1201.3339

zbMATH Keywords

topological field theoriesChern-Simons theories

Mathematics Subject Classification ID

Topological field theories in quantum mechanics (81T45)

Related Items (17)

Towards \(\mathcal{R}\)-matrix construction of Khovanov-Rozansky polynomials I. Primary \(T\)-deformation of HOMFLY ⋮ Are there \(p\)-adic knot invariants? ⋮ Introduction to Khovanov homologies. I. Unreduced Jones superpolynomial ⋮ Superpolynomials for torus knots from evolution induced by cut-and-join operators ⋮ HOMFLY polynomials in representation \([3, 1\) for 3-strand braids] ⋮ Factorization of differential expansion for antiparallel double-braid knots ⋮ On universal knot polynomials ⋮ Colored HOMFLY polynomials for the pretzel knots and links ⋮ Are Khovanov-Rozansky polynomials consistent with evolution in the space of knots? ⋮ QFT and unification of knot theories ⋮ On the block structure of the quantum ℛ-matrix in the three-strand braids ⋮ Machine learning of the well-known things ⋮ Rectangular superpolynomials for the figure-eight knot \(4_1\) ⋮ Matrix model and dimensions at hypercube vertices ⋮ Cabling procedure for the colored HOMFLY polynomials ⋮ Differential hierarchy and additional grading of knot polynomials ⋮ HOMFLY and superpolynomials for figure eight knot in all symmetric and antisymmetric representations

Cites Work

• Superpolynomials for torus knots from evolution induced by cut-and-join operators
• Complete set of cut-and-join operators in the Hurwitz-Kontsevich theory
• Challenges of \(\beta\)-deformation
• Computing Khovanov-Rozansky homology and defect fusion
• Link homologies and the refined topological vertex
• A matrix model for simple Hurwitz numbers, and topological recursion
• Matrix models for random partitions
• The Hilbert scheme of a plane curve singularity and the \textsc{HOMFLY} homology of its link
• Matrix factorizations and link homology. II.
• Self-dual Hamiltonians as deformations of free systems
• On double-elliptic integrable systems. I: A duality argument for the case of \(\text{SU}(2)\)
• Double-elliptic dynamical systems from generalized Mukai-Sklyanin algebras
• Torus knots and mirror symmetry
• Character expansion for HOMFLY polynomials. II. Fundamental representation. Up to five strands in braid
• Algebra of differential operators associated with Young diagrams
• Khovanov-Rozansky homology and topological strings
• Knot homology and refined Chern-Simons index
• Homological algebra of knots and BPS states
• CUT-AND-JOIN OPERATOR REPRESENTATION FOR KONTSEVICH–WITTEN TAU-FUNCTION
• 𝑞,𝑡-Catalan numbers and knot homology
• REFINED BPS STATE COUNTING FROM NEKRASOV'S FORMULA AND MACDONALD FUNCTIONS
• ON EQUIVALENCE OF TWO HURWITZ MATRIX MODELS
• On the Hecke algebras and the colored HOMFLY polynomial
• The Superpolynomial for Knot Homologies
• Jones Polynomials of Torus Knots via DAHA
• A New Point of View in the Theory of Knot and Link Invariants
• ON THE INVARIANTS OF TORUS KNOTS DERIVED FROM QUANTUM GROUPS
• Gauge theory and knot homologies
• Matrix factorizations and link homology
• Commuting Hamiltonians from Seiberg-Witten \(\Theta\)-functions.

This page was built for publication: Interplay between Macdonald and Hall-Littlewood expansions of extended torus superpolynomials