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

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