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Trudy Matematicheskogo Instituta imeni V.A. Steklova, 2017, Volume 298, Pages 112–126
DOI: https://doi.org/10.1134/S0371968517030086 (Mi tm3807) 		 
This article is cited in 1 scientific paper (total in 1 paper)

On the Dimension of Solution Spaces of a Noncommutative Sigma Model in the Case of Uniton Number 2

A. V. Domrinaa, A. V. Domrinb

a Faculty of Computational Mathematics and Cybernetics, Moscow State University, Moscow, 119991 Russia
b Faculty of Mechanics and Mathematics, Moscow State University, Moscow, 119991 Russia
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DOI: https://doi.org/10.1134/S0371968517030086
Abstract: We show that the complex dimension of the set of solutions of the noncommutative $U(1)$ sigma model that are finite-dimensional perturbations of the identity operator and have canonical rank $r$ and minimal uniton number $2$ is equal to $r$. We give explicit formulas for all such solutions.
Funding agency Grant number
Russian Foundation for Basic Research 16-01-00117
16-52-12012
17-01-00592
This work was supported by the Russian Foundation for Basic Research, project nos. 16-01-00117, 16-52-12012, and 17-01-00592.
Received: February 16, 2017
English version:
Proceedings of the Steklov Institute of Mathematics, 2017, Volume 298, Pages 104–117
DOI: https://doi.org/10.1134/S0081543817060086
Bibliographic databases:
Document Type: Article
UDC: 517.986.9
Language: Russian
Citation: A. V. Domrina, A. V. Domrin, “On the Dimension of Solution Spaces of a Noncommutative Sigma Model in the Case of Uniton Number 2”, Complex analysis and its applications, Collected papers. On the occasion of the centenary of the birth of Boris Vladimirovich Shabat, 85th anniversary of the birth of Anatoliy Georgievich Vitushkin, and 85th anniversary of the birth of Andrei Aleksandrovich Gonchar, Trudy Mat. Inst. Steklova, 298, MAIK Nauka/Interperiodica, Moscow, 2017, 112–126; Proc. Steklov Inst. Math., 298 (2017), 104–117
Citation in format AMSBIB
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\by A.~V.~Domrina, A.~V.~Domrin
\paper On the Dimension of Solution Spaces of a Noncommutative Sigma Model in the Case of Uniton Number 2
\inbook Complex analysis and its applications
\bookinfo Collected papers. On the occasion of the centenary of the birth of Boris Vladimirovich Shabat, 85th anniversary of the birth of Anatoliy Georgievich Vitushkin, and 85th anniversary of the birth of Andrei Aleksandrovich Gonchar
\serial Trudy Mat. Inst. Steklova
\yr 2017
\vol 298
\pages 112--126
\publ MAIK Nauka/Interperiodica
\publaddr Moscow
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\crossref{https://doi.org/10.1134/S0371968517030086}
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\jour Proc. Steklov Inst. Math.
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    • This publication is cited in the following 1 articles:
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    		Труды Математического института имени В. А. Стеклова Proceedings of the Steklov Institute of Mathematics
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