Symmetric quandle colorings and ribbon concordance
Fuente:
arXiv
Enregistré dans:
| Auteur principal: | |
|---|---|
| Format: | Preprint |
| Publié: |
2022
|
| Sujets: | |
| Accès en ligne: | |
| Tags: |
Ajouter un tag
Pas de tags, Soyez le premier à ajouter un tag!
|
| _version_ | 1866909215593857024 |
|---|---|
| author | Cazet, Nicholas |
| author_facet | Cazet, Nicholas |
| contents | A quandle can always trivially color an orientable surface-link. This note shows that the surface-link $10_1^{-1,-1}$ of Yoshikawa's table cannot be colored by a symmetric dihedral quandle of order 4, and explains how this obstructs a generalized ribbon concordance between another link of two projective planes $8_1^{-1,-1}$ that does admit a coloring by the same symmetric dihedral quandle. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2212_09218 |
| institution | arXiv |
| publishDate | 2022 |
| record_format | arxiv |
| spellingShingle | Symmetric quandle colorings and ribbon concordance Cazet, Nicholas Geometric Topology A quandle can always trivially color an orientable surface-link. This note shows that the surface-link $10_1^{-1,-1}$ of Yoshikawa's table cannot be colored by a symmetric dihedral quandle of order 4, and explains how this obstructs a generalized ribbon concordance between another link of two projective planes $8_1^{-1,-1}$ that does admit a coloring by the same symmetric dihedral quandle. |
| title | Symmetric quandle colorings and ribbon concordance |
| topic | Geometric Topology |
| url | https://arxiv.org/abs/2212.09218 |