A lower bound for the number of Vassiliev knot invariants
It is shown that the dimension of the vector space of primitive Vassiliev knot invariants of degree \(d\) grows at least as \(d^{\log d}\), and in particular faster than any polynomial in \(d\). A short introduction to the history of such upper and lower bounds is given in the introduction of the paper [\textit{A. Stoimenov}, J. Knot Theory Ramifications 8, No.~6, 799-813 (1999; Zbl 0934.57007), see also the next review], recent improvements of the above lower bound are reported on in the Notes added in proof of the present paper.
scientific article; zbMATH DE number 1307871