Topological Quantum Field Theory and Seiberg-Witten Monopoles

Details Topological Quantum Field Theory and Seiberg-Witten Monopoles Topological Quantum Field Theory and Seiberg-Witten Monopoles

1995-04-04

arxiv.org/abs/hep-th/9504005v1

Lett.Math.Phys.39:213-228,1997

Physics

High Energy Physics

High Energy Physics - Theory

15 pages, Latex file, no figures

Scientific paper

10.1023/A:1007319915035

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.

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