A practical implementation of the Overlap-Dirac operator

A practical implementation of the Overlap-Dirac operator $\frac{1+{\gamma }_5ϵ(H)}{2}$ is presented. The implementation exploits the sparseness of $H$ and does not require full storage. A simple application to parity invariant three dimensional SU(2) gauge theory is carried out to establish that zero modes related to topology are exactly reproduced on the lattice.