Distributing the chiral and flavour components of Dirac-Kahler fermions across multiple lattices

We use a specific implementation of discrete differential geometry to describe Dirac-Kahler fermions in such a way that we can separate their chiral and flavour components. The formulation introduces additional lattices so that, on each lattice, there is a single field of definite chirality. Within this framework, we define a non-compact Abelian gauge theory.