We show that a U(1) instanton on non-commutative R-4 corresponds to a non-singular U(1) gauge field on a commutative Kahler manifold X which is a blowup of C-2 at a finite number of points. This gauge field on X obeys Maxwell's equations in addition to the susy constraint F-0,F-2=0. For instanton charge k the manifold X can be viewed as a space-time foam with b(2)similar tok. A direct connection with integrable systems of Calogero-Moser type is established. We also make some comments on the non-abelian case.
- INTEGRABLE SYSTEMS