On linking coefficients

Habegger, Nathan

doi:10.1090/S0002-9939-1986-0818471-8

On linking coefficients
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by Nathan Habegger PDF

Proc. Amer. Math. Soc. 96 (1986), 353-359 Request permission

Abstract:

The possible values of linking coefficients for two component links are studied. An example of a link ${S^3} \cup {S^2}$ in ${S^5}$ having linking coefficient in ${\pi _3}({S^2})$ of Hopf invariant two is constructed. A generalization to links ${S^{m - 2}} \cup {S^p}$ in ${S^m}$ is obtained in the metastable range. Applications to embeddings of two cell complexes are cited.

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