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Adiabatic Limit in Yang–Mills Equations in R⁴

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Publication:5853411
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DOI10.17516/1997-1397-2019-12-4-449-454OpenAlexW2973044850MaRDI QIDQ5853411

Armen Glebovich Sergeev

Publication date: 18 March 2021

Published in: Journal of Siberian Federal University. Mathematics & Physics (Search for Journal in Brave)

Full work available at URL: http://mathnet.ru/eng/jsfu782


zbMATH Keywords

harmonic mapsloop spacesadiabatic limitYang-Mills fields


Mathematics Subject Classification ID

Differential geometry (53-XX) Relativity and gravitational theory (83-XX)


Related Items (1)

The adiabatic limit of Fu-Yau equations



Cites Work

  • Unnamed Item
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  • Justification of the adiabatic principle for hyperbolic Ginzburg-Landau equations
  • Instantons in two and four dimensions
  • Instantons and geometric invariant theory
  • Degenerating metrics and instantons on the four-sphere
  • \(\text{Gr}\Rightarrow\text{SW}\): from pseudo-holomorphic curves to Seiberg-Witten solutions.
  • Harmonic spheres conjecture
  • Harmonic spheres in the Hilbert–Schmidt Grassmannian
  • On the Moduli Space of Yang–Mills Fields on $$ \mathbb{R}^4 $$
  • SW ⇒ Gr: From the Seiberg-Witten equations to pseudo-holomorphic curves
  • Adiabatic limit in the Ginzburg-Landau and Seiberg-Witten equations


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