29 citations · 89 across the 13 of their papers we have counts for
4 papers · 1 filter
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…