On the topological 4-genus of torus knots
We prove that the topological locally flat slice genus of large torus knots takes up less than three quarters of the ordinary genus. As an application, we derive the best possible linear estimate of the topological slice genus for torus knots with non-maximal signature invariant.
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| Veröffentlicht in: | Transactions of the American Mathematical Society 2018-04, Vol.370 (4), p.2639-2656 |
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| Hauptverfasser: | , , , |
| Format: | Artikel |
| Sprache: | eng |
| Online-Zugang: | Volltext |
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| Zusammenfassung: | We prove that the topological locally flat slice genus of large torus knots takes up less than three quarters of the ordinary genus. As an application, we derive the best possible linear estimate of the topological slice genus for torus knots with non-maximal signature invariant. |
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| ISSN: | 0002-9947 1088-6850 |
| DOI: | 10.1090/tran/7051 |