On the Combinatorial Structure of
Primitive Vassiliev Invariants, III
A Lower Bound
MathSciNet
Preprint available: arXiv:math/9806086
Abstract:
We prove that the dimension of the space of primitive Vassiliev
invariants of degree n
grows - as n tends to infinity - faster than $e^{c \sqrt n}$
for any $c< \pi \sqrt {\frac 2 3}$.
The proof relies on the use of the weight systems coming from the Lie
algebra gl(N).
Keywords:
Vassiliev invariants, Invariants of finite type