On the Kontsevich integral of Brunnian links
Résumé
The purpose of the paper is twofold. First, we give an alternative, short proof using the Kontsevich integral for the fact that the restriction of an invariant of degree 2n to (n+1)-component Brunnian links can be expressed as a quadratic form on the Milnor mu-bar link-homotopy invariants of length n+1. Second, we describe the structure of the Brunnian part of the degree 2n graded quotient of the Goussarov-Vassiliev filtration for (n+1)-component links.