  The Abelian Chern-Simons gauge theory is constructed on the three-dimensional
spacetime lattice. This proposal introduces both lattice and dual lattice, and
the gauge field on the dual lattice is expressed in terms of the gauge field on
the original lattice. This treatment circumvents the issue of forward/backward
difference, which is the common problem that many previous proposals have, and
also avoids the duplication problem, which prevents people from introducing the
dual lattice. The form of the lattice action is very simple, and is symmetric
with respect to the three spacetime dimensions. These features make it
straightforward to calculate the expectation values of Wilson loops, and the
results agree with the topological field theory in continuous spacetime.
Generalizations to multiple types of lattices are also discussed.
