Bridge Positions of Links That Cannot Be Monotonically Simplified
Fuente:
arXiv
Saved in:
| Main Authors: | , |
|---|---|
| Format: | Preprint |
| Published: |
2024
|
| Subjects: | |
| Online Access: | |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1866917858925084672 |
|---|---|
| author | Pongtanapaisan, Puttipong Rodman, Daniel |
| author_facet | Pongtanapaisan, Puttipong Rodman, Daniel |
| contents | For any pair of integers $m$ and $n$ such that $3<m<n$, we provide an infinite family of links, where each link in the family has a locally minimal $n$-bridge position and a globally minimal $m$-bridge position. We accomplish this by applying the criterion of Takao et al. The $n$-bridge position is interesting because the corresponding bridge sphere is unperturbed, so it must be perturbed at least once before it can be de-perturbed to attain a globally minimal $m$-bridge sphere. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2412_04621 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Bridge Positions of Links That Cannot Be Monotonically Simplified Pongtanapaisan, Puttipong Rodman, Daniel Geometric Topology 57K10 For any pair of integers $m$ and $n$ such that $3<m<n$, we provide an infinite family of links, where each link in the family has a locally minimal $n$-bridge position and a globally minimal $m$-bridge position. We accomplish this by applying the criterion of Takao et al. The $n$-bridge position is interesting because the corresponding bridge sphere is unperturbed, so it must be perturbed at least once before it can be de-perturbed to attain a globally minimal $m$-bridge sphere. |
| title | Bridge Positions of Links That Cannot Be Monotonically Simplified |
| topic | Geometric Topology 57K10 |
| url | https://arxiv.org/abs/2412.04621 |