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Article Dans Une Revue International Journal of Mathematics Année : 2008

Finite type invariants and Milnor invariants for Brunnian links

Résumé

A link L in the 3-sphere is called Brunnian if every proper sublink of L is trivial. In a previous paper, the first author proved that the restriction to Brunnian links of any Goussarov-Vassiliev finite type invariant of (n+1)-component links of degree<2n is trivial. The purpose of this paper is to study the first nontrivial case. We will show 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 link-homotopy invariants of length n+1.

Dates et versions

hal-00347993 , version 1 (17-12-2008)

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Kazuo Habiro, Jean-Baptiste Meilhan. Finite type invariants and Milnor invariants for Brunnian links. International Journal of Mathematics, 2008, 19 (6), pp.747-766. ⟨hal-00347993⟩
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