Title
On the combinatorial structure of primitive Vassiliev invariants, III - A lower bound
Document Type
Article
Publication Date
11-1-2000
Abstract
We prove that the dimension of the space of primitive Vassiliev invariants of degree n grows - as n tends to infinity - faster than ec√n for any c < π√2/3. This solves the so-called Kontsevich-Bar-Natan conjecture. The proof relies on the use of the weight systems coming from the Lie algebra gl-fraktur sign(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 gl-fraktur sign(N)-weight systems. © World Scientific Publishing Company.
Publication Source (Journal or Book title)
Communications in Contemporary Mathematics
First Page
579
Last Page
590
Recommended Citation
Dasbach, O. (2000). On the combinatorial structure of primitive Vassiliev invariants, III - A lower bound. Communications in Contemporary Mathematics, 2 (4), 579-590. Retrieved from https://repository.lsu.edu/mathematics_pubs/245