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Russian Mathematical Surveys, 2002, Volume 57, Issue 2, Pages 305–360
DOI: https://doi.org/10.1070/RM2002v057n02ABEH000497 (Mi rm497) 		 
This article is cited in 4 scientific papers (total in 4 papers)

Instantons and monopoles

N. A. Tyurin

Joint Institute for Nuclear Research
English version PDF (502 kB) Citations (4)
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DOI: https://doi.org/10.1070/RM2002v057n02ABEH000497
Abstract: In this survey we present the main notions and constructions of gauge theories, namely, the Donaldson theory, the Seiberg–Witten theory, and the theory of B-monopoles, which connects the previous two theories. In the framework of differential geometry these theories give new invariants of smooth structures in dimension 4. The introduction of these new gauge invariants has helped to solve many problems of modern geometry. The apparatus developed in the framework of these theories leads to new modern methods of investigation both in smooth geometry and in applied problems of mathematical physics. Without striving for the greatest possible generality, the survey aims to present the topic in maximal breadth and accessibility.
Received: 11.09.2001
Russian version:
Uspekhi Matematicheskikh Nauk, 2002, Volume 57, Issue 2(344), Pages 85–138
DOI: https://doi.org/10.4213/rm497
Bibliographic databases:
Document Type: Article
UDC: 514.7
MSC: Primary 14D21, 57R57; Secondary 14J35, 81T13, 53C07, 14J80, 58E15, 14J28, 53D30
Language: English
Original paper language: Russian
Citation: N. A. Tyurin, “Instantons and monopoles”, Uspekhi Mat. Nauk, 57:2(344) (2002), 85–138; Russian Math. Surveys, 57:2 (2002), 305–360
Citation in format AMSBIB
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    • This publication is cited in the following 4 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    English version PDF:36
    References:72
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