Gauge fields and holomorphic geometry
Itogi Nauki i Tekhniki. Seriya Sovremennye Problemy Matematiki. Noveishie Dostizheniya, Tome 17 (1981), pp. 3-55
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The paper contains an exposition of the geometric theory of Yang–Mills equations in the language of Penrose twistors. A cohomological interpretation of the curvature of the connection and the current of the general holomorphic Yang–Mills field is given. Complex singularities of instanton fields are investigated.
@article{INTD_1981_17_a0,
author = {Yu. I. Manin},
title = {Gauge fields and holomorphic geometry},
journal = {Itogi Nauki i Tekhniki. Seriya Sovremennye Problemy Matematiki. Noveishie Dostizheniya},
pages = {3--55},
publisher = {mathdoc},
volume = {17},
year = {1981},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/INTD_1981_17_a0/}
}
Yu. I. Manin. Gauge fields and holomorphic geometry. Itogi Nauki i Tekhniki. Seriya Sovremennye Problemy Matematiki. Noveishie Dostizheniya, Tome 17 (1981), pp. 3-55. http://geodesic.mathdoc.fr/item/INTD_1981_17_a0/