Topological Quantum Field Theory and Seiberg-Witten Monopoles
arXiv:hep-th/9504005 · doi:10.1023/A:1007319915035
Abstract
A 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 figures