29 citations · 89 across the 13 of their papers we have counts for
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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…
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…
Rectangular superpolynomials for the figure-eight knot
Ya. Kononov, A. Morozov
We rewrite the recently proposed differential expansion formula for HOMFLY polynomials of the knot in arbitrary rectangular representation as a sum over all Young s…
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…
Flat coordinates for Saito Frobenius manifolds and String theory
Alexander Belavin, Doron Gepner, Yakov Kononov
It was shown in \cite{DVV} for topological Conformal field theory (TCFT) \cite{EY,W} and more recently in \cite{BSZ}-\cite{BB2} for the non-critical String theory \cite{P}-\ci…
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…