Geodesic
Adiabatic limit in Yang--Mills equations in $\mathbb{R}^4$
Žurnal Sibirskogo federalʹnogo universiteta. Matematika i fizika, Tome 12 (2019) no. 4, pp. 449-454

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Our goal is to present an approach to the proof of the harmonic spheres conjecture based on the adiabatic limit construction. This construction allows to associate with an arbitrary Yang–Mills $G$-field on the Euclidean 4-dimensional space a harmonic map of the Riemann sphere to the loop space of the group $G$.
Keywords: Yang–Mills fields, loop spaces, harmonic maps.
Mots-clés : adiabatic limit 
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     author = {Armen G. Sergeev},
     title = {Adiabatic limit in {Yang--Mills} equations in $\mathbb{R}^4$},
     journal = {\v{Z}urnal Sibirskogo federalʹnogo universiteta. Matematika i fizika},
     pages = {449--454},
     publisher = {mathdoc},
     volume = {12},
     number = {4},
     year = {2019},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/JSFU_2019_12_4_a6/}
}
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Armen G. Sergeev. Adiabatic limit in Yang--Mills equations in $\mathbb{R}^4$. Žurnal Sibirskogo federalʹnogo universiteta. Matematika i fizika, Tome 12 (2019) no. 4, pp. 449-454. http://geodesic.mathdoc.fr/item/JSFU_2019_12_4_a6/