We can approximate a manifold with points on a lattice.
For a space which has the symmetries of a double-covered space. (i.e. you have to rotate 720 degrees before you end up at the same place.), is there some extension to lattices which can approximate these spaces?
i.e. a lattice in which you have to rotate 720 degrees before you get back to the original lattice?
Yes, it sounds crazy but this is how fermions work.