157 citations · 1.1k across the 34 of their papers we have counts for
31 papers
Macdonald deformation of Vogel's universality and link hyperpolynomials
Liudmila Bishler, Andrei Mironov, Alexei Morozov
Vogel's universality implies a unified description of the adjoint sector of representation theory for simple Lie algebras in terms of three parameters , which are homogeneou…
Can Yang-Baxter imply Lie algebra?
Dmitry Khudoteplov, Alexei Morozov, Alexey Sleptsov
Quantum knot invariants (like colored HOMFLY-PT or Kauffman polynomials) are a distinguished class of non-perturbative topological invariants. Any known way to construct them (via…
Elliptic matrix models
A. Mironov, A. Morozov
The Gaussian matrix model is known to deform to the -matrix model. We consider further deformation to the elliptic matrix model by properly deforming the Gaussian densit…
Towards elliptic deformation of -matrix models
A. Mironov, A. Morozov
As a necessary step in constructing elliptic matrix models, which preserve the superintegrability property , we suggest an elliptic deformation of the peculi…
Algebra of quantum -polynomials
A. Mironov, A. Morozov
Knot polynomials colored with symmetric representations of satisfy difference equations as functions of representation parameter, which look like quantization of classica…
Hopf superpolynomial from topological vertices
A. Mironov, A. Morozov
Link/knot invariants are series with integer coefficients, and it is a long-standing problem to get them positive and possessing cohomological interpretation. Constructing positive…