Adiabatic paths and pseudoholomorphic curves
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We consider the (2+1)-dimensional Abelian Higgs model, governed by the GinzburgLandau action functional and describe the adiabatic limit construction for this model. Then we switch to the 4-dimensional case and show that the Taubes correspondence may be considered as a (2+2)-dimensional analogue of the adiabatic limit construction.
Keywordsadiabatic path Ginzburg-Landau equation Seiberg-Witten equation
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