Adiabatic paths and pseudoholomorphic curves

DOI10.1007/BF02884703zbMath1130.53060OpenAlexW1991220961MaRDI QIDQ2460723

Armen Glebovich Sergeev

Publication date: 13 November 2007

Published in: Science in China. Series A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02884703

zbMATH Keywords

Ginzburg-Landau equationSeiberg-Witten equationadiabatic limitpseudoholomorphic curves

Mathematics Subject Classification ID

Applications of global analysis to structures on manifolds (57R57) Gromov-Witten invariants, quantum cohomology, Frobenius manifolds (53D45) Pseudoholomorphic curves (32Q65) Variational problems concerning extremal problems in several variables; Yang-Mills functionals (58E15)

Cites Work

• A remark on the scattering of BPS monopoles.
• 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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