2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/68611We review the construction known as the Nahm transform in a generalized context, which includes all the examples of this construction already described in the literature. The Nahm transform for translation invariant instantons on $\real^4$ is presented in an uniform manner. We also analyze two new examples, the first of which being the first example involving a four-manifold that is not complex.Submitted version with minor changes, more references to calorons; written with non-experts in mind; 24 pagesDifferential Geometrytext