  We study theoretically the behavior of vortices in a thin film superconductor
placed close to a soft magnetic film. It is shown that the field from the
vortex induces a magnetization distribution in the soft magnetic film, thus
modifying the fields and vortex interactions. We suggest that the interaction
between two otherwise identical vortices is attractive at short distances, but
repulsive at larger distances. This is in contrast to the case without the soft
magnetic film, where the force is always repulsive.
