Multi-colored links from 3-strand braids carrying arbitrary symmetric representations
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Publication:2332169
DOI10.1007/s00023-019-00841-zzbMath1426.81044arXiv1805.03916OpenAlexW3106390979MaRDI QIDQ2332169
Alexey Sleptsov, Saswati Dhara, Andrey Morozov, Andrei Mironov, A. Yu. Morozov, Vivek Kumar Singh, Pichai Ramadevi
Publication date: 1 November 2019
Published in: Annales Henri Poincaré (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1805.03916
Quantum groups (quantized enveloping algebras) and related deformations (17B37) Quantum groups and related algebraic methods applied to problems in quantum theory (81R50) Applications of Lie groups to the sciences; explicit representations (22E70) Eta-invariants, Chern-Simons invariants (58J28) Knot polynomials (57K14)
Related Items (10)
Multiplicity-free \(U_q(sl_N)\) 6-j symbols: relations, asymptotics, symmetries ⋮ Chern-Simons perturbative series revisited ⋮ Interplay between symmetries of quantum 6j-symbols and the eigenvalue hypothesis ⋮ Colored HOMFLY-PT polynomials of quasi-alternating 3-braid knots ⋮ A new symmetry of the colored Alexander polynomial ⋮ Tug-the-hook symmetry for quantum 6j-symbols ⋮ Distinguishing mutant knots ⋮ A novel symmetry of colored HOMFLY polynomials coming from \(\mathfrak{sl}(N|M)\) superalgebras ⋮ Quantum Racah matrices and 3-strand braids in representation \([3,3\)] ⋮ Implications for colored HOMFLY polynomials from explicit formulas for group-theoretical structure
Cites Work
- Unnamed Item
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- Multiplicity-free quantum \(6j\)-symbols for \(U_q(\mathfrak{sl}_N)\)
- Cabling procedure for the colored HOMFLY polynomials
- Proof of the Labastida-Mariño-Ooguri-Vafa conjecture
- Knots, BPS states, and algebraic curves
- Colored HOMFLY polynomials as multiple sums over paths or standard Young tableaux
- Quantum field theory and the Jones polynomial
- HOMFLY polynomials in representation \([3, 1\) for 3-strand braids]
- Quantum Racah matrices up to level 3 and multicolored link invariants
- Gaussian distribution of LMOV numbers
- Checks of integrality properties in topological strings
- Coloured Alexander polynomials and KP hierarchy
- HOMFLY and superpolynomials for figure eight knot in all symmetric and antisymmetric representations
- Tangle blocks in the theory of link invariants
- Racah matrices and hidden integrability in evolution of knots
- Ribbon graphs and their invariants derived from quantum groups
- 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
- Knot invariants from rational conformal field theories
- Universal Racah matrices and adjoint knot polynomials: arborescent knots
- Quantum Racah matrices and 3-strand braids in representation \([3,3\)]
- Knots-quivers correspondence
- 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
- Wilson function transforms related to Racah coefficients
- Colored HOMFLY polynomials for the pretzel knots and links
- Tabulating knot polynomials for arborescent knots
- On the Hecke algebras and the colored HOMFLY polynomial
- On the AJ conjecture for knots
- Colored knot polynomials: HOMFLY in representation [2, 1]
- A New Point of View in the Theory of Knot and Link Invariants
- On the block structure of the quantum ℛ-matrix in the three-strand braids
- Orthogonal Polynomials in Mathematical Physics
- Quantum affine Lie algebras, Casimir invariants, and diagonalization of the braid generator
- 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
- Knots, links and branes at large \(N\)
- Knot invariants and topological strings.
- On link invariants and topological string amplitudes
- Representations of the braid group \(B_3\) and of \(\text{SL}(2,\mathbb{Z})\).
- Clebsch-Gordan and Racah-Wigner coefficients for a continuous series of representations of \(\mathcal U_q(\mathfrak{sl}(2,\mathbb R))\)
- Towards effective topological field theory for knots
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