A survey on Nahm transform (Q556222)

The survey paper sets up the Nahm transform in the class of four-dimensional spin manifolds of nonnegative scalar curvature and characterises it as the nonlinear Fourier transform, which takes vector bundles with ASD connections over a manifold to vector bundles with connections over a dual manifold. In this general context, the paper describes several examples of Nahm transform including instantons over the four sphere.