#### 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