Saved in:
| Main Author: | |
|---|---|
| Format: | Preprint |
| Published: |
2025
|
| Subjects: | |
| Online Access: | https://arxiv.org/abs/2509.16905 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1866916963311157248 |
|---|---|
| author | Ise, Ayaka |
| author_facet | Ise, Ayaka |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2509_16905 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Slice depth of 2-knots Ise, Ayaka Geometric Topology 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. |
| title | Slice depth of 2-knots |
| topic | Geometric Topology |
| url | https://arxiv.org/abs/2509.16905 |