Quandle Cohomology Quiver Representations
Fuente:
arXiv
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Preprint |
| Veröffentlicht: |
2024
|
| Schlagworte: | |
| Online-Zugang: | |
| Tags: |
Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
|
| _version_ | 1866915074797469696 |
|---|---|
| author | Nelson, Sam |
| author_facet | Nelson, Sam |
| contents | We define a family of quiver representation-valued invariants of oriented classical and virtual knots and links associated to a choice of finite quandle $X$, abelian group $A$, set of quandle 2-cocycles $C\subset H^2_Q(x;A)$, choice of coefficient ring $k$ and set of quandle endomorphisms $S\subset \mathrm{Hom}(X,X)$. From this representation we define four new polynomial (or ``polynomial'' depending on $A$) invariants. We generalize to the case of biquandles and compute some examples. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2411_02153 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Quandle Cohomology Quiver Representations Nelson, Sam Geometric Topology Quantum Algebra 57K12 We define a family of quiver representation-valued invariants of oriented classical and virtual knots and links associated to a choice of finite quandle $X$, abelian group $A$, set of quandle 2-cocycles $C\subset H^2_Q(x;A)$, choice of coefficient ring $k$ and set of quandle endomorphisms $S\subset \mathrm{Hom}(X,X)$. From this representation we define four new polynomial (or ``polynomial'' depending on $A$) invariants. We generalize to the case of biquandles and compute some examples. |
| title | Quandle Cohomology Quiver Representations |
| topic | Geometric Topology Quantum Algebra 57K12 |
| url | https://arxiv.org/abs/2411.02153 |