Seifert vs. slice genera of knots in twist families and a characterization of braid axes

Twisting a knot K in S3 along a disjoint unknot c produces a twist family of knots {Kn} indexed by the integers. We prove that if the ratio of the Seifert genus to the slice genus for knots in a twist family limits to 1, then the winding number of K about c equals either zero or the wrapping number....

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Veröffentlicht in:	Proceedings of the London Mathematical Society 2019-12, Vol.119 (6), p.1493-1530, Article 1493
Hauptverfasser:	Baker, Kenneth L., Motegi, Kimihiko
Format:	Artikel
Sprache:	eng
Schlagworte:	57M25 57M27 (primary) 57R17 57R58 (secondary)
Online-Zugang:	Volltext
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