5 papers
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,…