Finite type invariants and Milnor invariants for Brunnian links

Kazuo Habiro; Jean-Baptiste Meilhan

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arXiv · math/0510534

Finite type invariants and Milnor invariants for Brunnian links

Kazuo Habiro·Jean-Baptiste Meilhan

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Abstract

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.

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BibTeX RIS

Kazuo Habiro, Jean-Baptiste Meilhan. 2005-10-25. Finite type invariants and Milnor invariants for Brunnian links. https://arxiv.org/abs/math/0510534

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