44 citations · 105 across the 6 of their papers we have counts for
6 papers
Quantum Racah matrices up to level 3 and multicolored link invariants
C. Bai, J. Jiang, J. Liang +4
This paper is a next step in the project of systematic description of colored knot and link invariants started in previous papers. In this paper, we managed to explicitly find the…
On the block structure of the quantum R-matrix in the three-strand braids
L. Bishler, An. Morozov, A. Sleptsov +1
Quantum -matrices are the building blocks for the colored HOMFLY polynomials. In the case of three-strand braids with an identical finite-dimensional irreducible repre…
Orthogonal Polynomials in Mathematical Physics
Chuan-Tsung Chan, A. Mironov, A. Morozov +1
This is a review of (-)hypergeometric orthogonal polynomials and their relation to representation theory of quantum groups, to matrix models, to integrable theory, and to knot t…
Checks of integrality properties in topological strings
A. Mironov, A. Morozov, An. Morozov +3
Tests of the integrality properties of a scalar operator in topological strings on a resolved conifold background or orientifold of conifold backgrounds have been performed for arb…
Quantum Racah matrices and 3-strand braids in representation [3,3]
Sh. Shakirov, A. Sleptsov
This paper is a next step in the project of systematic description of colored knot polynomials started in arXiv:1506.00339. In this paper, we managed to explicitly find the $\texti…
Tabulating knot polynomials for arborescent knots
A. Mironov, A. Morozov, An. Morozov +3
Arborescent knots are the ones which can be represented in terms of double fat graphs or equivalently as tree Feynman diagrams. This is the class of knots for which the present kno…