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arXiv · 2509.16905

Slice depth of 2-knots

Ayaka Ise
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Abstract

We introduce the notion of slice depth of a 2-knot K, which is the minimal integer n such that K is n-slice. We give an upper bound for the slice depth of the n-twist spin of a classical knot which belongs to several specific classes, namely, certain types of 2-bridge knots, pretzel knots, ribbon knots of 1-fusion, and knots with given unknotting number.

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Ayaka Ise. 2025-09-23. Slice depth of 2-knots. https://arxiv.org/abs/2509.16905

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