2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/179711A topological quantum field theory is introduced which reproduces the Seiberg-Witten invariants of four-manifolds. Dimensional reduction of this topological field theory leads to a new one in three dimensions. Its partition function yields a three-manifold invariant, which can be regarded as the Seiberg-Witten version of Casson's invariant. A Geometrical interpretation of the three dimensional quantum field theory is also given.15 pages, Latex file, no figuresHigh Energy Physics - TheoryTopological Quantum Field Theory and Seiberg-Witten Monopolestext