We calculate the low-lying eigenmodes of the Neuberger overlap-Dirac operat
or for 4d compact lattice QED in the quenched approximation. In the strong
coupling phase we find exact zero-modes. quite similar as in non-Abelian la
ttice QCD. Subsequently we make an attempt to identify responsible topologi
cal excitations of the U(1) lattice gauge theory. (C) 2001 Elsevier Science
B.V. All rights reserved.