A partial classification of 3-dimensional clasp number two, genus two fibered knots
Fuente:
arXiv
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Preprint |
| Veröffentlicht: |
2026
|
| Schlagworte: | |
| Online-Zugang: | |
| Tags: |
Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
|
| _version_ | 1866910020007886848 |
|---|---|
| author | Ito, Tetsuya |
| author_facet | Ito, Tetsuya |
| contents | The 3-dimensional clasp number $cl(K)$ of a knot $K$ is the minimum number of clasp singularities of clasp disk, a singular immersed disk bounding $K$ whose singular set consists of only clasp singularities. We give a classification of clasp number two, genus two fibered knots under the assumption that they admit a clasp disk of certain type which we call of type II. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2602_11612 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | A partial classification of 3-dimensional clasp number two, genus two fibered knots Ito, Tetsuya Geometric Topology The 3-dimensional clasp number $cl(K)$ of a knot $K$ is the minimum number of clasp singularities of clasp disk, a singular immersed disk bounding $K$ whose singular set consists of only clasp singularities. We give a classification of clasp number two, genus two fibered knots under the assumption that they admit a clasp disk of certain type which we call of type II. |
| title | A partial classification of 3-dimensional clasp number two, genus two fibered knots |
| topic | Geometric Topology |
| url | https://arxiv.org/abs/2602.11612 |