The geometric triangle for 3-dimensional Seiberg-Witten monopoles
نویسندگان
چکیده
This paper is the rst part of a program aimed at a better understanding of how the recently de ned Seiberg-Witten-Floer homology for any closed 3-manifold Y with a Spin structure s [7], [12], [18], [20], [35] behaves under surgery. The non-equivariant Seiberg-Witten-Floer homology is constructed from the chain complex generated by the irreducible critical points of the perturbed Chern-Simons-Dirac functional on the space of L1-con gurations modulo the action of L 2 2-gauge transformations, the di erential is de ned by counting the gradient ow lines connecting the critical points of relative
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Topological Field Theories associated with Three Dimensional Seiberg-Witten Monopoles
Three dimensional topological field theories associated with the three dimensional version of Abelian and non-Abelian Seiberg-Witten monopoles are presented. These three dimensional monopole equations are obtained by a dimensional reduction of the four dimensional ones. The starting actions to be considered are Gaussian types with random auxiliary fields. As the local gauge symmetries with topo...
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