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Vortex equations. (English) Zbl 0907.58010

Summary: Vortex equations arising in the theory of superconductivity can be also considered as a 2-dimensional reduction of the Seiberg-Witten equations. We present here some recent results on vortex equations having direct extensions to the Seiberg-Witten equations.

MSC:

58E30 Variational principles in infinite-dimensional spaces
82D55 Statistical mechanics of superconductors
57R57 Applications of global analysis to structures on manifolds
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