Abstract We discuss the canonical quantization of U(1) k Chern-Simons theory on a spatial lattice. In addition to the usual local Gauss law constraints. the physical Hilbert space is defined by 1-form gauge constraints implementing the compactness of the U(1) gauge group. and (depending on the details of the spatial lattice) non-local constraints which project out unframed Wilson loops. https://parlorcityfurniturers.shop/product-category/door-accessories/