Geodesic
Adiabatic limit in Ginzburg--Landau and Seiberg--Witten equations
Teoretičeskaâ i matematičeskaâ fizika, Tome 203 (2020) no. 1, pp. 151-160

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We present the concept of an adiabatic limit of Ginzburg–Landau dynamical equations on $\mathbb{R}^{1+2}$ and Seiberg–Witten equations on four-dimensional symplectic manifolds. We show that the Seiberg–Witten equations can be regarded as a complex version of the Ginzburg–Landau equations.
Mots-clés : adiabatic limit
Keywords: Ginzburg–Landau equation, Seiberg–Witten equation, Abelian Higgs model, pseudoholomorphic curve. 
@article{TMF_2020_203_1_a10,
     author = {A. G. Sergeev},
     title = {Adiabatic limit in {Ginzburg--Landau} and {Seiberg--Witten} equations},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {151--160},
     publisher = {mathdoc},
     volume = {203},
     number = {1},
     year = {2020},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_2020_203_1_a10/}
}
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A. G. Sergeev. Adiabatic limit in Ginzburg--Landau and Seiberg--Witten equations. Teoretičeskaâ i matematičeskaâ fizika, Tome 203 (2020) no. 1, pp. 151-160. http://geodesic.mathdoc.fr/item/TMF_2020_203_1_a10/