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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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/

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