Peripheral elements in reduced Alexander modules
Fuente:
arXiv
Saved in:
| Main Author: | |
|---|---|
| Format: | Preprint |
| Published: |
2022
|
| Subjects: | |
| Online Access: | |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1866912722254299136 |
|---|---|
| author | Traldi, Lorenzo |
| author_facet | Traldi, Lorenzo |
| contents | We discuss meridians and longitudes in reduced Alexander modules of classical and virtual links. When these elements are suitably defined, each link component will have many meridians, but only one longitude. Enhancing the reduced Alexander module by singling out these peripheral elements provides a significantly stronger link invariant. In particular, the enhanced module determines all linking numbers in a link; in contrast, the module alone does not even detect how many linking numbers are $0$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2202_07426 |
| institution | arXiv |
| publishDate | 2022 |
| record_format | arxiv |
| spellingShingle | Peripheral elements in reduced Alexander modules Traldi, Lorenzo Geometric Topology We discuss meridians and longitudes in reduced Alexander modules of classical and virtual links. When these elements are suitably defined, each link component will have many meridians, but only one longitude. Enhancing the reduced Alexander module by singling out these peripheral elements provides a significantly stronger link invariant. In particular, the enhanced module determines all linking numbers in a link; in contrast, the module alone does not even detect how many linking numbers are $0$. |
| title | Peripheral elements in reduced Alexander modules |
| topic | Geometric Topology |
| url | https://arxiv.org/abs/2202.07426 |