A prime decomposition theorem for string links in a thickened surface
Fuente:
arXiv
Saved in:
| Main Author: | |
|---|---|
| Format: | Preprint |
| Published: |
2024
|
| Subjects: | |
| Online Access: | |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1866916544054820864 |
|---|---|
| author | Tarkaev, Vladimir |
| author_facet | Tarkaev, Vladimir |
| contents | We prove a prime decomposition theorem for string links in a thickened surface. Namely, we prove that any non-braid string link $\ell \subset Σ\times I$, where $Σ$ is a compact orientable (not necessarily closed) surface other than $S^2$, can be written in the form $\ell =\ell_1 \# \ldots \# \ell_m$, where $\ell_j,j=1,\ldots,m,$ is prime string link defined up to braid equivalence, and the decomposition is unique up to possibly permuting the order of factors in its right-hand side. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2403_12492 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | A prime decomposition theorem for string links in a thickened surface Tarkaev, Vladimir Geometric Topology 57M25, 57M27 We prove a prime decomposition theorem for string links in a thickened surface. Namely, we prove that any non-braid string link $\ell \subset Σ\times I$, where $Σ$ is a compact orientable (not necessarily closed) surface other than $S^2$, can be written in the form $\ell =\ell_1 \# \ldots \# \ell_m$, where $\ell_j,j=1,\ldots,m,$ is prime string link defined up to braid equivalence, and the decomposition is unique up to possibly permuting the order of factors in its right-hand side. |
| title | A prime decomposition theorem for string links in a thickened surface |
| topic | Geometric Topology 57M25, 57M27 |
| url | https://arxiv.org/abs/2403.12492 |