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Transactions of the Moscow Mathematical Society

ISSN 1547-738X(online) ISSN 0077-1554(print)

 
 

 

Twistor geometry and gauge fields


Author: A. G. Sergeev
Translated by: the author
Original publication: Trudy Moskovskogo Matematicheskogo Obshchestva, tom 79 (2018), vypusk 2.
Journal: Trans. Moscow Math. Soc. 2018, 135-175
MSC (2010): Primary 70S15, 81T13
DOI: https://doi.org/10.1090/mosc/277
Published electronically: November 29, 2018
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Abstract: The main topic of this survey article is an exposition of basics of the theory of twistors and of applications of this theory to solving equations of gauge field theory, such as, e.g., Yang-Mills equations, monopole equations, etc.


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Additional Information

A. G. Sergeev
Affiliation: Steklov Mathematical Institute, ul. Gubkina 8, Moscow 117966, GSP-1, Russia
Email: sergeev@mi.ras.ru

DOI: https://doi.org/10.1090/mosc/277
Keywords: Twistors, instantons, monopoles, Yang--Mills fields, Hitchin equations, harmonic maps
Published electronically: November 29, 2018
Additional Notes: While preparing this article the author was partially supported by RRFR grants 16-01-00117 and 16-52-12012, and by the program “Nonlinear Dynamics” of the Presidium of the Russian Academy of Sciences.
Article copyright: © Copyright 2018 American Mathematical Society

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