Ribbon concordance and the minimality of tight fibered knots

Tetsuya Abe; Keiji Tagami

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arXiv · 2210.04044

Ribbon concordance and the minimality of tight fibered knots

Tetsuya Abe·Keiji Tagami

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Abstract

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 $8_{15}$.

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BibTeX RIS

Tetsuya Abe, Keiji Tagami. 2023-06-29. Ribbon concordance and the minimality of tight fibered knots. https://arxiv.org/abs/2210.04044

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