A Quick Note On Homsets and Diagrams
Fuente:
arXiv
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Preprint |
| Veröffentlicht: |
2025
|
| Schlagworte: | |
| Online-Zugang: | |
| Tags: |
Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
|
| _version_ | 1866909785133154304 |
|---|---|
| author | Nelson, Sam |
| author_facet | Nelson, Sam |
| contents | The homset invariant of a knot or link L with respect to an algebraic knot coloring structure X can be identified with a set of colorings of a diagram of L by elements of X via an identification of diagrammatic generators with algebraic generators. In some cases, particularly when either L or X has a high degree of symmetry, distinct homset elements can be represented by superficially similar X-colored diagrams, potentially leading to confusion. In this short note we examine and attempt to clarify this phenomenon. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2504_14384 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | A Quick Note On Homsets and Diagrams Nelson, Sam Geometric Topology 57K12 The homset invariant of a knot or link L with respect to an algebraic knot coloring structure X can be identified with a set of colorings of a diagram of L by elements of X via an identification of diagrammatic generators with algebraic generators. In some cases, particularly when either L or X has a high degree of symmetry, distinct homset elements can be represented by superficially similar X-colored diagrams, potentially leading to confusion. In this short note we examine and attempt to clarify this phenomenon. |
| title | A Quick Note On Homsets and Diagrams |
| topic | Geometric Topology 57K12 |
| url | https://arxiv.org/abs/2504.14384 |