A functional relation in stable knot theory. (English) Zbl 0737.57011

Given a smooth knot \(S^ n\subset S^{n+2}\), with Seifert surface \(V^{n+1}\), we compute the homotopy class of the inclusion \(S^ n\subset V\) in terms of the homotopy Seifert pairing of \(V\), provided that the connectivity of \(V\) is at least \(n/3\) and \(n\geq 5\).
Reviewer: R.Klein (Hagen)


57Q45 Knots and links in high dimensions (PL-topology) (MSC2010)
57R40 Embeddings in differential topology
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