101 citations · 294 across the 11 of their papers we have counts for
11 papers
3-Schurs from explicit representation of Yangian . Levels 1-5
A. Morozov, N. Tselousov
We suggest an ansatz for representation of affine Yangian by differential operators in the triangular set of time-variables with $1\leqs…
Defect and degree of the Alexander polynomial
E. Lanina, A. Morozov
Defect characterizes the depth of factorization of terms in differential (cyclotomic) expansions of knot polynomials, i.e. of the non-perturbative Wilson averages in the Chern-Simo…
Polynomial representations of classical Lie algebras and flag varieties
A. Morozov, M. Reva, N. Tselousov +1
Recently we have started a program to describe the action of Lie algebras associated with Dynkin-type diagrams on generic Verma modules in terms of polynomial vector fields. In thi…
From superintegrability to tridiagonal representation of -ensembles
A. Mironov, A. Morozov, A. Popolitov
The wonderful formulas by I.Dumitriu and A.Edelman rewrite -ensemble, with eigenvalue integrals containing Vandermonde factors in the power , through integrals over tridiago…
Quantization of Harer-Zagier formulas
Alexei Morozov, Aleksandr Popolitov, Shamil Shakirov
We derive the analogues of the Harer-Zagier formulas for single- and double-trace correlators in the q-deformed Hermitian Gaussian matrix model. This fully describes single-trace c…
Perspectives of differential expansion
L. Bishler, A. Morozov
We outline the current status of the differential expansion (DE) of colored knot polynomials i.e. of their -- decomposition into representation-- and knot--dependent parts. I…
Shiraishi functor and non-Kerov deformation of Macdonald polynomials
H. Awata, H. Kanno, A. Mironov +1
We suggest a further generalization of the hypergeometric-like series due to M. Noumi and J. Shiraishi by substituting the Pochhammer symbol with a nearly arbitrary function. Moreo…
Tensorial generalization of characters
H. Itoyama, A. Mironov, A. Morozov
In rainbow tensor models, which generalize rectangular complex matrix model (RCM) and possess a huge gauge symmetry , we introduce a new sub-basis…
Multi-Colored Links From 3-strand Braids Carrying Arbitrary Symmetric Representations
Saswati Dhara, A. Mironov, A. Morozov +4
Obtaining colored HOMFLY-PT polynomials for knots from 3-strand braid carrying arbitrary representation is still tedious. For a class of rank symmetric representations,…
Chern-Simons Theory in the Temporal Gauge and Knot Invariants through the Universal Quantum R-Matrix
Alexei Morozov, Andrey Smirnov
In temporal gauge A_{0}=0 the 3d Chern-Simons theory acquires quadratic action and an ultralocal propagator. This directly implies a 2d R-matrix representation for the correlators…
BGWM as Second Constituent of Complex Matrix Model
A. Alexandrov, A. Mironov, A. Morozov
Earlier we explained that partition functions of various matrix models can be constructed from that of the cubic Kontsevich model, which, therefore, becomes a basic elementary buil…