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arXiv · hep-th/9504005

Topological Quantum Field Theory and Seiberg-Witten Monopoles

R. B. Zhang·B. L. Wang·A. L. Carey·J. McCarthy
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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.

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R. B. Zhang, B. L. Wang, A. L. Carey, J. McCarthy. 1995-04-04. Topological Quantum Field Theory and Seiberg-Witten Monopoles. https://doi.org/10.1023/a%3A1007319915035

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