On the Kontsevich integral of Brunnian links

Kazuo Habiro; Jean-Baptiste Meilhan

doi:10.2140/agt.2006.6.1399

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On the Kontsevich integral of Brunnian links

Kazuo Habiro·Jean-Baptiste Meilhan

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Abstract

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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BibTeX RIS

Kazuo Habiro, Jean-Baptiste Meilhan. 2009-04-23. On the Kontsevich integral of Brunnian links. https://doi.org/10.2140/agt.2006.6.1399

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