2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/49944We generalize Witten's conjectured formula relating Donaldson and Seiberg-Witten invariants to manifolds of non-simple type, via equivariant localization techniques. This approach does not use the theory of non-abelian monopoles, but works directly on the Donaldson-Witten and Seiberg-Witten moduli spaces. We give a formal derivation of Witten's conjecture and its generalization, making use of an infinite dimensional version of the abelian localization theorem.32 pages, no figures; added references, corrected typos, minor changesHigh Energy Physics - TheoryDifferential Geometrytext