Gauge-theoretic equations for harmonic maps into symmetric spaces (Q2752845)

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scientific article; zbMATH DE number 1665582
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Gauge-theoretic equations for harmonic maps into symmetric spaces
scientific article; zbMATH DE number 1665582

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    27 October 2002
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    harmonic map
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    symmetric space
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    gauge theory
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    moduli space
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    duality
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    Gauge-theoretic equations for harmonic maps into symmetric spaces (English)
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    The authors show that the characteristic of harmonic maps of Riemann surfaces into symmetric spaces - viewed as extensions of the equations of harmonic maps into Lie groups, is that their equations have a gauge-theoretic formulation. The paper contains as well: the construction of the moduli spaces of solutions, the deformation of solutions, the local structure of moduli spaces and weak compactness theorems of moduli spaces, including a removability theorem for isolated singularities of solutions to the gauge-theoretic equations.NEWLINENEWLINEFor the entire collection see [Zbl 0953.00035].
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