29 citations · 79 across the 9 of their papers we have counts for
8 papers
Determinantal representation of colored HOMFLY for double braids
Ya. Kononov, A. Morozov
Starting from the known differential expansions, we express the HOMFLY-PT polynomials of twist and antiparallel double-braid knots in rectangular representations \([r^s]\) as deter…
Khovanov polynomials for satellites and asymptotic adjoint polynomials
A. Anokhina, A. Morozov, A. Popolitov
We compute explicitly the Khovanov polynomials (using the computer program from katlas.org) for the two simplest families of the satellite knots, which are the twisted Whitehead do…
On rectangular HOMFLY for twist knots
Ya. Kononov, A. Morozov
As a new step in the study of rectangularly-colored knot polynomials, we reformulate the prescription of arXiv:1606.06015 for twist knots in the double-column representations $R=[r…
On Factorization of Generalized Macdonald Polynomials
Ya. Kononov, A. Morozov
A remarkable feature of Schur functions -- the common eigenfunctions of cut-and-join operators from -- is that they factorize at the peculiar two-parametric topological…
Colored HOMFLY and Generalized Mandelbrot set
Ya. Kononov, A. Morozov
Mandelbrot set is a closure of the set of zeroes of for iterated maps in the moduli space of maps . The wonderful fact is tha…
Matrix model and dimensions at hypercube vertices
A. Morozov, An. Morozov, A. Popolitov
In hypercube approach to correlation functions in Chern-Simons theory (knot polynomials) the central role is played by the numbers of cycles, in which the link diagram is decompose…
Factorization of colored knot polynomials at roots of unity
Ya. Kononov, A. Morozov
From analysis of a big variety of different knots we conclude that at q which is an root of unity, q^{2m}=1, HOMFLY polynomials in symmetric representations [r] satisfy recursion i…
On the defect and stability of differential expansion
Ya. Kononov, A. Morozov
Empirical analysis of many colored knot polynomials, made possible by recent computational advances in Chern-Simons theory, reveals their stability: for any given negative N and an…