A spectrum connecting the braid index and the bridge index
Fuente:
arXiv
Enregistré dans:
| Auteurs principaux: | , |
|---|---|
| Format: | Preprint |
| Publié: |
2024
|
| Sujets: | |
| Accès en ligne: | |
| Tags: |
Ajouter un tag
Pas de tags, Soyez le premier à ajouter un tag!
|
| _version_ | 1866912120348606464 |
|---|---|
| author | Doig, Margaret Gehringer, Chase |
| author_facet | Doig, Margaret Gehringer, Chase |
| contents | We study the booklink, a braid-like embedding with local maxima and minima, and the bridge-braid spectrum of a link, which captures the smallest number of braid-strands in a booklink with a prescribed number of critical points. This spectrum spans the gap between the classical bridge and braid indices. We apply a foliation theory argument to provide a formula for the spectra of both split and composite links. We then generate a table for the spectra of all prime knots up to 9 crossings. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2411_09845 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | A spectrum connecting the braid index and the bridge index Doig, Margaret Gehringer, Chase Geometric Topology 57K10 We study the booklink, a braid-like embedding with local maxima and minima, and the bridge-braid spectrum of a link, which captures the smallest number of braid-strands in a booklink with a prescribed number of critical points. This spectrum spans the gap between the classical bridge and braid indices. We apply a foliation theory argument to provide a formula for the spectra of both split and composite links. We then generate a table for the spectra of all prime knots up to 9 crossings. |
| title | A spectrum connecting the braid index and the bridge index |
| topic | Geometric Topology 57K10 |
| url | https://arxiv.org/abs/2411.09845 |