Slice depth of 2-knots
Geometric Topology
2025-09-24 v2
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.
Keywords
Cite
@article{arxiv.2509.16905,
title = {Slice depth of 2-knots},
author = {Ayaka Ise},
journal= {arXiv preprint arXiv:2509.16905},
year = {2025}
}
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17 pages