On the Existence of Finite Type Link Homotopy Invariants

Blake Mellor; Dylan Thurston

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On the Existence of Finite Type Link Homotopy Invariants

Blake Mellor·Dylan Thurston

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Abstract

We show that for links with at most 5 components, the only finite type homotopy invariants are products of the linking numbers. In contrast, we show that for links with at least 9 components, there must exist finite type homotopy invariants which are not products of the linking numbers. This corrects previous errors of the first author.

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BibTeX RIS

Blake Mellor, Dylan Thurston. 2000-10-21. On the Existence of Finite Type Link Homotopy Invariants. https://arxiv.org/abs/math/0010206

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