  I discuss the zeromode spectrum of lattice chiral fermions in the domain wall
model suggested recently. In particular I give the critical momenta where the
fermions cease to be chiral and show that the spectrum is directly related to
the behaviour of the Chern-Simons current on the lattice. First results for the
domain wall model on the finite lattice indicate that the relevant features of
the model in the infinite system survive for the finite lattice.
