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| Autores principales: | , |
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| Formato: | Preprint |
| Publicado: |
2022
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| Materias: | |
| Acceso en línea: | https://arxiv.org/abs/2203.10478 |
| Etiquetas: |
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- Using the skew-Hopf pairing, we obtain $\mathcal{R}$-matrix for the two-parameter quantum algebra $U_{v,t}$. We further construct a strict monoidal functor $\mathcal{T}$ from the tangle category $(\mathrm{OTa},\otimes, \emptyset)$ to the category $(\mathrm{Mod},\otimes, \mathbb{Q}(v,t))$ of $U_{v,t}$-modules . As a consequence, the quantum knot invariant of the tangle $L$ of type $(n,n)$ is obtained by the action of $\mathcal{T}$ on the closure $\tilde{L}$ of $L$.