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arXiv:2210.04044 [math.GT]AbstractReferencesReviewsResources

Ribbon concordance and the minimality of tight fibered knots

Tetsuya Abe, Keiji Tagami

Published 2022-10-08, updated 2023-06-29Version 2

Agol proved that ribbon concordance forms a partial ordering on the set of knots in the $3$-sphere. In this paper, we prove that all tight fibered knots are minimal in this partially ordered set. We also give the table of prime minimal knots up to $8$-crossings except for $8_{15}$.

Comments: This paper will be reorganized
Categories: math.GT
Subjects: 57K10
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