An approach to homotopy classification of links-Reference-Cited by-同舟云学术

An approach to homotopy classification of links

Published:1988 Issue:1 Volume:306 Page:361-387
ISSN:0002-9947
Container-title:Transactions of the American Mathematical Society
language:en
Short-container-title:Trans. Amer. Math. Soc.

Author:

Levine J. P.

Abstract

A reformulation and refinement of the μ ¯ \overline \mu -invariants of Milnor are used to give a homotopy classification of 4 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.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Link

http://www.ams.org/tran/1988-306-01/S0002-9947-1988-0927695-7/S0002-9947-1988-0927695-7.pdf

Reference20 articles.

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3. Link concordance implies link homotopy;Giffen, Charles H.;Math. Scand.,1979

4. Concordance implies homotopy for classical links in 𝑀³;Goldsmith, Deborah L.;Comment. Math. Helv.,1979

5. On weakly distinguished bases and free generating sets of free groups;Humphries, Stephen P.;Quart. J. Math. Oxford Ser. (2),1985

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