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ON THE COMBINATORIAL STRUCTURE OF PRIMITIVE VASSILIEV INVARIANTS, III — A LOWER BOUND
https://doi.org/10.1142/S0219199700000219Cited by:8 (Source: Crossref)
Abstract
We prove that the dimension of the space of primitive Vassiliev invariants of degree n grows — as n tends to infinity — faster than 
for any 
. This solves the so-called Kontsevich–Bar–Natan conjecture.
The proof relies on the use of the weight systems coming from the Lie algebra 
(N). In fact, we show that our bound is — up to a multiplication by a rational function in n — the best possible that one can get with 
(N)-weight systems.
