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Brunnian links, claspers and Goussarov-Vassiliev finite type invariants

Kazuo Habiro
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Abstract

We prove that if n\ge1, then an (n+1)-component Brunnian link L in a connected, oriented 3-manifold is C_n-equivalent to an unlink. We also prove that if n\ge2, then L can not be distinguished from an unlink by any Goussarov-Vassiliev finite type invariant of degree<2n.

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Kazuo Habiro. 2005-10-21. Brunnian links, claspers and Goussarov-Vassiliev finite type invariants. https://arxiv.org/abs/math/0510460

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