An approach to homotopy classification of links

Levine, J. P.

doi:10.1090/S0002-9947-1988-0927695-7

An approach to homotopy classification of links
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Trans. Amer. Math. Soc. 306 (1988), 361-387 Request permission

Abstract:

A reformulation and refinement of the $\overline \mu$-invariants of Milnor are used to give a homotopy classification of $4$ component links and suggest a possible general homotopy classification. The main idea is to use the (reduced) group of a link and its "geometric" automorphisms to define the precise indeterminacy of these invariants.

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New results on link equivalence relations

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Linking

spheres in the

sphere

Seifert matrices and boundary link cobordism

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On equivalence relations of links in

manifolds