Character expansion for HOMFLY polynomials. II. Fundamental representation. Up to five strands in braid
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Publication:2340753
DOI10.1007/JHEP03(2012)034zbMath1309.81114arXiv1112.2654MaRDI QIDQ2340753
Andrey Morozov, Albert D. Morozov, Andrei Mironov
Publication date: 20 April 2015
Published in: Journal of High Energy Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1112.2654
Quantum groups (quantized enveloping algebras) and related deformations (17B37) Quantum groups and related algebraic methods applied to problems in quantum theory (81R50) Noncommutative geometry methods in quantum field theory (81T75) Eta-invariants, Chern-Simons invariants (58J28)
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Cites Work
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- Superpolynomials for torus knots from evolution induced by cut-and-join operators
- Complete set of cut-and-join operators in the Hurwitz-Kontsevich theory
- Computing Khovanov-Rozansky homology and defect fusion
- Brezin-Gross-Witten model as ``pure gauge limit of Selberg integrals
- Operator content of two-dimensional conformally invariant theories
- Chern-Simons theory in the temporal gauge and knot invariants through the universal quantum R-matrix
- Chern-Simons invariants of torus links
- Solitons and infinite dimensional Lie algebras
- Matrix factorizations and link homology. II.
- Quantum field theory and the Jones polynomial
- State sum invariants of 3-manifolds and quantum \(6j\)-symbols
- Chern-Simons theory, coloured-oriented braids and link invariants
- The many faces of a character
- Torus knots and mirror symmetry
- Ribbon graphs and their invariants derived from quantum groups
- Character expansion methods for matrix models of dually weighted graphs
- \(SU(N)\) quantum Racah coefficients and non-torus links
- Unitary integrals and related matrix models
- Two-dimensional QCD is a string theory
- Character expansion for HOMFLY polynomials. II. Fundamental representation. Up to five strands in braid
- The colored Jones function is \(q\)-holonomic
- Algebra of differential operators associated with Young diagrams
- Khovanov-Rozansky homology and topological strings
- Knot homology and refined Chern-Simons index
- GENERALIZED KAZAKOV-MIGDAL-KONTSEVICH MODEL: GROUP THEORY ASPECTS
- UNITARY MATRIX INTEGRALS IN THE FRAMEWORK OF THE GENERALIZED KONTSEVICH MODEL
- 𝑞,𝑡-Catalan numbers and knot homology
- Integrability of Hurwitz partition functions
- On the Hecke algebras and the colored HOMFLY polynomial
- The Superpolynomial for Knot Homologies
- A new polynomial invariant of knots and links
- Invariants of links of Conway type
- THE NONCOMMUTATIVE A-IDEAL OF A (2, 2p + 1)-TORUS KNOT DETERMINES ITS JONES POLYNOMIAL
- A New Point of View in the Theory of Knot and Link Invariants
- Invariants of piecewise-linear 3-manifolds
- The planar approximation. II
- Non-commutative trigonometry and the A-polynomial of the trefoil knot
- ON THE INVARIANTS OF TORUS KNOTS DERIVED FROM QUANTUM GROUPS
- Matrix factorizations and link homology