On the combinatorial structure of primitive Vassiliev invariants, III - A lower bound
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
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://digitalcommons.lsu.edu/mathematics_pubs/245