29 citations · 79 across the 9 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…
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…