Adiabatic limit in the Ginzburg-Landau and Seiberg-Witten equations

DOI10.1134/S0081543810030181zbMath1236.35180OpenAlexW2529732902MaRDI QIDQ5894164

Armen Glebovich Sergeev

Publication date: 17 March 2011

Published in: Proceedings of the Steklov Institute of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0081543810030181

zbMATH Keywords

Seiberg-Witten equationsadiabatic limitGinzburg-Landau equations

Mathematics Subject Classification ID

Applications of global analysis to structures on manifolds (57R57) Spin and Spin({}^c) geometry (53C27) Ginzburg-Landau equations (35Q56)

Cites Work

• Dynamics of Abelian Higgs vortices in the near Bogomolny regime
• \(\text{Gr}\Rightarrow\text{SW}\): from pseudo-holomorphic curves to Seiberg-Witten solutions.
• SW ⇒ Gr: From the Seiberg-Witten equations to pseudo-holomorphic curves
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