Geodesic
Adiabatic Limit for Some Nonlinear Equations of Gauge Field Theory
Contemporary Mathematics. Fundamental Directions, Proceedings of the International Conference on Differential and Functional-Differential Equations — Satellite of International Congress of Mathematicians ICM-2002 (Moscow, MAI, 11–17 August, 2002). Part 3, Tome 3 (2003), pp. 33-42.

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We consider the adiabatic limit for nonlinear dynamic equations of gauge field theory. Our main example of such equations is given by the Abelian $(2+1)$-dimensional Higgs model. We show next that the Taubes correspondence, which assigns pseudoholomorphic curves to solutions of Seiberg–Witten equations on symplectic 4-manifolds, may be interpreted as a complex analogue of the adiabatic limit construction in the $(2+1)$-dimensional case. 
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A. G. Sergeev. Adiabatic Limit for Some Nonlinear Equations of Gauge Field Theory. Contemporary Mathematics. Fundamental Directions, Proceedings of the International Conference on Differential and Functional-Differential Equations — Satellite of International Congress of Mathematicians ICM-2002 (Moscow, MAI, 11–17 August, 2002). Part 3, Tome 3 (2003), pp. 33-42. http://geodesic.mathdoc.fr/item/CMFD_2003_3_a1/

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