论文标题
减少Drinfeld中心的张量产品
Reduced Tensor Product on the Drinfeld Center
论文作者
论文摘要
环带带有“堆叠”操作，将两个环粘合到一个。这在边界值类别上提供了张量的产品结构，$ z {\ text {cy}}（\ text {ann}）$在扩展的Crane-yetter TQFT中与环相关的。众所周知，$ z {\ text {cy}}（\ text {ann}）\ simeq \ simeq \ mathcal {z}（\ Mathcal {a}）$，drinfeld的drinfeld中心，$ \ mathcal {a} $的drinfeld中心。我们在$ \ mathcal {z}（\ Mathcal {a}）上给出了张量产品的明确公式，该公式与$ z _ {\ text {cy}}}（\ text {ann}）上的堆叠操作相对应。
The annulus comes with a "stacking" operation which glues two annuli into one. This provides a tensor product structure on the category of boundary values $Z_{\text{CY}}(\text{Ann})$ associated to the annulus in an extended Crane-Yetter TQFT. It is known that $Z_{\text{CY}}(\text{Ann}) \simeq \mathcal{Z}(\mathcal{A})$, the Drinfeld center of the premodular category $\mathcal{A}$ from which $Z_{\text{CY}}$ is constructed. We give an explicit formula for the tensor product on $\mathcal{Z}(\mathcal{A})$ that corresponds to the stacking operation on $Z_{\text{CY}}(\text{Ann})$.
