We briefly review the overlap formalism for chiral gauge theories, the
overlap Dirac operator for massless fermions and its connection to domain wall
fermions. We describe properties of the overlap Dirac operator, and methods to
implement it numerically. Finally, we give some examples of quenched
calculations of chiral symmetry breaking and topology with overlap fermions.Comment: 12 pages with 6 ps figures; crckapb.sty included; to appear in the
proceedings of the workshop "Lattice Fermions and Structure of the Vacuum",
Oct 5-9, Dubna, Russi
