Symplectic geometry and deformation of infinite dimensional cycles associated to Cauchy-Riemann operators (Q1903368)
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scientific article; zbMATH DE number 821705
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Symplectic geometry and deformation of infinite dimensional cycles associated to Cauchy-Riemann operators |
scientific article; zbMATH DE number 821705 |
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Symplectic geometry and deformation of infinite dimensional cycles associated to Cauchy-Riemann operators (English)
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29 November 1995
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The present paper exhibits one of the applications of a general theory of infinite dimensional cycles associated to families of operators [see the author, Nagoya Math. J. 127, 1-14 (1992; Zbl 0784.46053)] to a variational problem, i.e., the Yang-Mills Gauge Field Theory over Riemann surfaces. The aim of this paper is to find invariant infinite dimensional cycles via the gradient flow of the Yang-Mills action over Riemann surfaces, other than stable (or unstable) manifolds, as an application of the above general theory.
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Yang-Mills functional
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infinite dimensional cycles
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0.90688723
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0.90559435
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0.9039911
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0.90365666
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0.9012419
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0.8980891
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0.89785606
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