Cabling procedure for the colored HOMFLY polynomials
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Publication:461580
DOI10.1007/s11232-014-0129-2zbMath1318.81055arXiv1307.2216OpenAlexW2962816180MaRDI QIDQ461580
A. S. Anokhina, Andrey Morozov
Publication date: 13 October 2014
Published in: Theoretical and Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1307.2216
Yang-Mills and other gauge theories in quantum field theory (81T13) Topological field theories in quantum mechanics (81T45)
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Cites Work
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- Introduction to Khovanov homologies. I. Unreduced Jones superpolynomial
- Superpolynomials for torus knots from evolution induced by cut-and-join operators
- Interplay between Macdonald and Hall-Littlewood expansions of extended torus superpolynomials
- Multiplicity-free quantum \(6j\)-symbols for \(U_q(\mathfrak{sl}_N)\)
- Three-dimensional extensions of the Alday-Gaiotto-Tachikawa relation
- Computing Khovanov-Rozansky homology and defect fusion
- The Hilbert scheme of a plane curve singularity and the HOMFLY polynomial of its link
- Genus expansion of HOMFLY polynomials
- Cabling procedure for the colored HOMFLY polynomials
- Torus knots and the rational DAHA
- Quantum group interpretation of some conformal field theories
- Chern-Simons theory in the temporal gauge and knot invariants through the universal quantum R-matrix
- Chern-Simons invariants of torus links
- Colored HOMFLY polynomials as multiple sums over paths or standard Young tableaux
- Matrix factorizations and link homology. II.
- A polynomial invariant of oriented links
- State models and the Jones polynomial
- The Yang-Baxter equation and invariants of links
- Infinite conformal symmetry in two-dimensional quantum field theory
- Quantum field theory and the Jones polynomial
- The partition function of a degenerate functional
- On the variation in the cohomology of the symplectic form of the reduced phase space
- The 3-manifold invariants of Witten and Reshetikhin-Turaev for sl\((2,\mathbb{C})\)
- Chern-Simons theory, coloured-oriented braids and link invariants
- Vassiliev invariants for links from Chern-Simons perturbation theory
- \(U(N)\) framed links, three-manifold invariants, and topological strings
- Monopoles, duality and chiral symmetry breaking in \(N=2\) supersymmetric QCD
- On Khovanov's categorification of the Jones polynomial
- Torus knots and mirror symmetry
- HOMFLY and superpolynomials for figure eight knot in all symmetric and antisymmetric representations
- Super-A-polynomials for twist knots
- Special colored superpolynomials and their representation-dependence
- Ribbon graphs and their invariants derived from quantum groups
- Characteristic forms and geometric invariants
- Racah coefficients and extended HOMFLY polynomials for all 5-, 6- and 7-strand braids
- \(SU(N)\) quantum Racah coefficients and non-torus links
- Three-dimensional Chern-Simons theory as a theory of knots and links. III: Compact semi-simple group
- Three-dimensional Chern-Simons theory as a theory of knots and links
- Knot invariants from rational conformal field theories
- Electric-magnetic duality, monopole condensation, and confinement in \(N=2\) supersymmetric Yang-Mills theory
- A categorification of the Jones polynomial
- Differential hierarchy and additional grading of knot polynomials
- Character expansion for HOMFLY polynomials. II. Fundamental representation. Up to five strands in braid
- Khovanov-Rozansky homology and topological strings
- Knot polynomials in the first non-symmetric representation
- Knot homology and refined Chern-Simons index
- Three-dimensional quantum gravity, Chern-Simons theory, and the \(A\)-polynomial
- GENERATING FUNCTION FOR 2d WZW MODEL CORRELATORS AND THE SUGAWARA CONSTRUCTION FROM THE 2+1 CHERN-SIMONS THEORY
- Lectures on non-perturbative effects in large N gauge theories, matrix models and strings
- TOWARDS A PROOF OF AGT CONJECTURE BY METHODS OF MATRIX MODELS
- Significance of Electromagnetic Potentials in the Quantum Theory
- On the Hecke algebras and the colored HOMFLY polynomial
- The Superpolynomial for Knot Homologies
- Jones Polynomials of Torus Knots via DAHA
- A polynomial invariant for knots via von Neumann algebras
- A new polynomial invariant of knots and links
- AN $A_{n - 1}^{\left( 1 \right)} $ FAMILY OF SOLVABLE LATTICE MODELS
- THE NONCOMMUTATIVE A-IDEAL OF A (2, 2p + 1)-TORUS KNOT DETERMINES ITS JONES POLYNOMIAL
- THE HOMFLY POLYNOMIAL OF THE DECORATED HOPF LINK
- Kontsevich integral for Vassiliev invariants from Chern–Simons perturbation theory in the light-cone gauge
- Non-commutative trigonometry and the A-polynomial of the trefoil knot
- CHARACTER EXPANSION FOR HOMFLY POLYNOMIALS III: ALL 3-STRAND BRAIDS IN THE FIRST SYMMETRIC REPRESENTATION
- EIGENVALUE HYPOTHESIS FOR RACAH MATRICES AND HOMFLY POLYNOMIALS FOR 3-STRAND KNOTS IN ANY SYMMETRIC AND ANTISYMMETRIC REPRESENTATIONS
- ON THE INVARIANTS OF TORUS KNOTS DERIVED FROM QUANTUM GROUPS
- COLORED HOMFLY POLYNOMIALS FROM CHERN–SIMONS THEORY
- Equations on knot polynomials and 3d/5d duality
- Matrix factorizations and link homology
- The Refractive Index in Electron Optics and the Principles of Dynamics
- Knot invariants and topological strings.
- On link invariants and topological string amplitudes
- Polynomial invariants for torus knots and topological strings
- Homfly polynomials of generalized Hopf links
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