ScalingStacks

Corollary 2.6.5.

The special case \(F=\mathrm{id}_\mathcal A\) for a monoidal category \(\mathcal A\) gives a bijection \[\begin{aligned} \mathrm{Braid}(\mathcal A) &\simeq& \{\text{Monoidal sections }\mathcal A\rightarrow Z(\mathcal A) \text{ of }\mathrm{ev}_{1_{\mathcal A}}\colon Z(\mathcal A)\rightarrow\mathcal A\}. \end{aligned}\]