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$R$-coloured knot polynomials for $m$-strand torus knots $Torus_{[m,n]}$ aredescribed by the Rosso-Jones formula, which is an example of evolution in $n$with Lyapunov exponents, labelled by Young diagrams from $R^{\otimes m}$. Thismeans that they satisfy a finite-difference equation (recursion) of finitedegree. For the gauge group $SL(N)$ only diagrams with no more than $N$ linescan contribute and the recursion degree is reduced. We claim that theseproperties (evolution/recursion and reduction) persist for Khovanov-Rozansky(KR) polynomials, obtained by additional factorization modulo $1+{\bf t}$,which is not yet adequately described in quantum field theory. Also preservedis some weakened version of differential expansion, which is responsible atleast for a simple relation between {\it reduced} and {\it unreduced} Khovanovpolynomials. However, in the KR case evolution is incompatible with the mirrorsymmetry under the change $n\longrightarrow -n$, what can signal about anambiguity in the KR factorization even for torus knots. }

Are Khovanov-Rozansky polynomials consistent with evolution in the space of knots?