The quantum torus as an ${\mathbb{E}}_M$-category

Lin Chen, Yifei Zhao

Given an oriented $2$-manifold $M$, a locally constant sheaf of lattices $\hat{I}›$ over $M$, and a pointed morphism $q:{\text{B}}^2\hat{I}›\to {\text{B}}^4{\mathbf{C}}^{\times }$, we defi…