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Tr. Mosk. Mat. Obs., 2018, Volume 79, Issue 2, Pages 155–207 (Mi mmo592)  

Twistor geometry and gauge fields

A. G. Sergeev

Steklov Mathematical Institute, ul. Gubkina 8, Moscow 117966, GSP-1, Russia

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.

Key words and phrases: twistors, instantons, monopoles, Yang–Mills fields, Hitchin equations, harmonic maps.

Funding Agency Grant Number
Russian Academy of Sciences - Federal Agency for Scientific Organizations PRAS-18-02
Russian Foundation for Basic Research 16-01-00117
16-52-12012
While preparing this course the author was supported partially by the RFBR grants 16-01-00117, 13-02-91330 and the Program Nonlinear Dynamics of Presidium of RAS.


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English version:
Transactions of the Moscow Mathematical Society, 2018, 135–175

UDC: 514.83
MSC: 70S15, 81T13
Received: 02.08.2017

Citation: A. G. Sergeev, “Twistor geometry and gauge fields”, Tr. Mosk. Mat. Obs., 79, no. 2, MCCME, M., 2018, 155–207; Trans. Moscow Math. Soc., 2018, 135–175

Citation in format AMSBIB
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\by A.~G.~Sergeev
\paper Twistor geometry and gauge fields
\serial Tr. Mosk. Mat. Obs.
\yr 2018
\vol 79
\issue 2
\pages 155--207
\publ MCCME
\publaddr M.
\mathnet{http://mi.mathnet.ru/mmo592}
\elib{http://elibrary.ru/item.asp?id=37045091}
\transl
\jour Trans. Moscow Math. Soc.
\yr 2018
\pages 135--175
\crossref{https://doi.org/10.1090/mosc/277}
\scopus{http://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-85060929365}


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