  The axial anomaly equation in 1+1 dimensional QED is obtained on the lattice
for fermions obeying the Ginsparg-Wilson relation. We make use of the
properties of the Lattice Dirac sea to investigate the connection between the
anomaly and the Ginsparg-Wilson operator in the Hamiltonian picture. The
correct anomaly is reproduced for gauge fields whose characteristic time is
much larger than the lattice spacing, which is the regime where the adiabatic
approximation applies. A non-zero Wilson $r$ parameter is necessary to get the
correct anomaly. The anomaly is shown to be independent of $r$ for $r>0.5$. The
generalization to 3+1 dimensions is also discussed.
