On the Kontsevich integral of Brunnian links

Details On the Kontsevich integral of Brunnian links On the Kontsevich integral of Brunnian links

2006-05-11

arxiv.org/abs/math/0605312v2

Algebr. Geom. Topol. 6 (2006) 1399-1412

Mathematics

Geometric Topology

This is the version published by Algebraic & Geometric Topology on 25 September 2006

Scientific paper

10.2140/agt.2006.6.1399

The purpose of the paper is twofold. First, we give a 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.

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