Abstract:
A new invariant polynomial $f$ of an oriented link is constructed. It is shown to be reducible to the Conway–Jones polynomials of the link and of its sublinks, on the other hand the Conway–Jones polynomial is reducible to the new one. If $L$ is a split link, then $f_L=0$. A new notion is introduced: a link invariant of a finite degree. The polynomial $f$ consists of an infinite system of invariants of finite degrees.