Saved in:
| Main Author: | |
|---|---|
| Format: | Preprint |
| Published: |
2024
|
| Subjects: | |
| Online Access: | https://arxiv.org/abs/2407.01629 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1866929419306663936 |
|---|---|
| author | Kokkinakis, Anastasios |
| author_facet | Kokkinakis, Anastasios |
| contents | Braidoids form a counterpart theory to the theory of planar knotoids, just as braids do for three-dimensional links. As such, planar knotoid diagrams represent the same knotoid in $\mathbb{R}^2$ if and only if they can be presented as the closure of two labeled braidoid diagrams related by an equivalence relation, named $L$-equivalence. In this paper, we refine the notion of $L$-equivalence of braidoid diagrams in order to obtain an equivalence theorem for (multi)-knotoid diagrams in $S^2$ when represented as the closure of labeled braidoid diagrams. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2407_01629 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | A braidoid equivalence for spherical knotoids Kokkinakis, Anastasios Geometric Topology Braidoids form a counterpart theory to the theory of planar knotoids, just as braids do for three-dimensional links. As such, planar knotoid diagrams represent the same knotoid in $\mathbb{R}^2$ if and only if they can be presented as the closure of two labeled braidoid diagrams related by an equivalence relation, named $L$-equivalence. In this paper, we refine the notion of $L$-equivalence of braidoid diagrams in order to obtain an equivalence theorem for (multi)-knotoid diagrams in $S^2$ when represented as the closure of labeled braidoid diagrams. |
| title | A braidoid equivalence for spherical knotoids |
| topic | Geometric Topology |
| url | https://arxiv.org/abs/2407.01629 |