Colored HOMFLY polynomials for the pretzel knots and links
From MaRDI portal
Publication:2635596
DOI10.1007/JHEP07(2015)069zbMath1388.57012arXiv1412.8432OpenAlexW1743451236MaRDI QIDQ2635596
Publication date: 31 May 2018
Published in: Journal of High Energy Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1412.8432
Infinite-dimensional groups and algebras motivated by physics, including Virasoro, Kac-Moody, (W)-algebras and other current algebras and their representations (81R10) Finite-dimensional groups and algebras motivated by physics and their representations (81R05) Topological quantum field theories (aspects of differential topology) (57R56)
Related Items
Perspectives of differential expansion ⋮ Multiplicity-free \(U_q(sl_N)\) 6-j symbols: relations, asymptotics, symmetries ⋮ Are there \(p\)-adic knot invariants? ⋮ \(\mathrm{SU}(2)/\mathrm{SL}(2)\) knot invariants and Kontsevich-Soibelman monodromies ⋮ On universal knot polynomials ⋮ Colored HOMFLY polynomials of knots presented as double fat diagrams ⋮ Differential expansion and rectangular HOMFLY for the figure eight knot ⋮ On the block structure of the quantum ℛ-matrix in the three-strand braids ⋮ Gaussian distribution of LMOV numbers ⋮ Towards topological quantum computer ⋮ On an alternative stratification of knots ⋮ Towards tangle calculus for Khovanov polynomials ⋮ Tabulating knot polynomials for arborescent knots ⋮ Distinguishing mutant knots ⋮ Quantum Racah matrices and 3-strand braids in representation \([3,3\)] ⋮ Tangle blocks in the theory of link invariants ⋮ Implications for colored HOMFLY polynomials from explicit formulas for group-theoretical structure ⋮ Multi-colored links from 3-strand braids carrying arbitrary symmetric representations ⋮ Wilson loop invariants from \(W_{N}\) conformal blocks ⋮ Knots and signal transmission in topological quantum devices
Uses Software
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Colored Kauffman homology and super-A-polynomials
- Towards \(\mathcal{R}\)-matrix construction of Khovanov-Rozansky polynomials I. Primary \(T\)-deformation of HOMFLY
- DAHA and iterated torus knots
- Superpolynomials for torus knots from evolution induced by cut-and-join operators
- Colored knot polynomials for arbitrary pretzel knots and links
- Interplay between Macdonald and Hall-Littlewood expansions of extended torus superpolynomials
- Complete set of cut-and-join operators in the Hurwitz-Kontsevich theory
- Multiplicity-free quantum \(6j\)-symbols for \(U_q(\mathfrak{sl}_N)\)
- Challenges of \(\beta\)-deformation
- Cabling procedure for the colored HOMFLY polynomials
- Quantum group interpretation of some conformal field theories
- Chern-Simons theory in the temporal gauge and knot invariants through the universal quantum R-matrix
- The hyperbolic volume of knots from the quantum dilogarithm
- Colored HOMFLY polynomials as multiple sums over paths or standard Young tableaux
- Matrix factorizations and link homology. II.
- \({SL(2, \mathbb{C})}\) Chern-Simons theory and the asymptotic behavior of the colored Jones polynomial
- State models and the Jones polynomial
- Hecke algebra representations of braid groups and link polynomials
- Quantum field theory and the Jones polynomial
- Vassiliev invariants for links from Chern-Simons perturbation theory
- Torus knots and mirror symmetry
- HOMFLY and superpolynomials for figure eight knot in all symmetric and antisymmetric representations
- Special colored superpolynomials and their representation-dependence
- Ribbon graphs and their invariants derived from quantum groups
- Index for subfactors
- Super-A-polynomial for knots and BPS states
- 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
- Differential hierarchy and additional grading of knot polynomials
- Character expansion for HOMFLY polynomials. II. Fundamental representation. Up to five strands in braid
- A note on colored HOMFLY polynomials for hyperbolic knots from WZW models
- Algebra of differential operators associated with Young diagrams
- Introduction to Khovanov homologies. III. A new and simple tensor-algebra construction of Khovanov-Rozansky invariants
- 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
- Colored HOMFLY polynomials of knots presented as double fat diagrams
- CHIRALITY OF KNOTS 942 AND 1071 AND CHERN-SIMONS THEORY
- On the relation between the A-polynomial and the Jones polynomial
- Homological algebra of knots and BPS states
- KONTSEVICH INTEGRAL FOR KNOTS AND VASSILIEV INVARIANTS
- On colored HOMFLY polynomials for twist knots
- Super-𝐴-Polynomial
- An Introduction to the Volume Conjecture
- 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
- THE NONCOMMUTATIVE A-IDEAL OF A (2, 2p + 1)-TORUS KNOT DETERMINES ITS JONES POLYNOMIAL
- DISTINGUISHING MUTANTS BY KNOT POLYNOMIALS
- ON JONES POLYNOMIALS OF ALTERNATING PRETZEL KNOTS
- 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
- Quadruply-graded colored homology of knots
- 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
- SOFT MATRIX MODELS AND CHERN–SIMONS PARTITION FUNCTIONS
- On link invariants and topological string amplitudes
- The colored Jones polynomials and the simplicial volume of a knot
- Knot invariants from Virasoro related representation and pretzel knots
