Inequivalent fibred knots whose homotopy Seifert pairings are isometric (Q923435)
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scientific article; zbMATH DE number 4169682
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Inequivalent fibred knots whose homotopy Seifert pairings are isometric |
scientific article; zbMATH DE number 4169682 |
Statements
Inequivalent fibred knots whose homotopy Seifert pairings are isometric (English)
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1991
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Using a new spinning construction, we give examples of fibred n-knots, \(n\geq 9\), whose fibres are 1-connected, whose associated homotopy Seifert pairings (in the sense of M. Farber) are isometric, yet whose complements are homotopically distinct. These examples show that knots are not determined by their homotopy Seifert pairings outside of the stable range.
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homotopically distinct complements
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spinning construction
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examples of fibred n-knots
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homotopy Seifert pairings
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isometric
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