Geodesic
Extended solutions in a~noncommutative sigma model
Trudy Matematicheskogo Instituta imeni V.A. Steklova, Analytic and geometric issues of complex analysis, Tome 279 (2012), pp. 72-80

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The notion of an extended solution plays a key role in Uhlenbeck's approach to the description of harmonic maps to the unitary group. In the present paper, we extend this notion to the case of a noncommutative sigma model (a quantum analog of harmonic spheres in the unitary group) and use it to establish that the minimum uniton number of any diagonal solution is equal to the canonical rank of this solution. 
@article{TM_2012_279_a5,
     author = {A. V. Domrina},
     title = {Extended solutions in a~noncommutative sigma model},
     journal = {Trudy Matematicheskogo Instituta imeni V.A. Steklova},
     pages = {72--80},
     publisher = {mathdoc},
     volume = {279},
     year = {2012},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TM_2012_279_a5/}
}
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A. V. Domrina. Extended solutions in a~noncommutative sigma model. Trudy Matematicheskogo Instituta imeni V.A. Steklova, Analytic and geometric issues of complex analysis, Tome 279 (2012), pp. 72-80. http://geodesic.mathdoc.fr/item/TM_2012_279_a5/