Relative frames on \(J\)-holomorphic curves (Q644437)
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scientific article; zbMATH DE number 5968098
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Relative frames on \(J\)-holomorphic curves |
scientific article; zbMATH DE number 5968098 |
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Relative frames on \(J\)-holomorphic curves (English)
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4 November 2011
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It is proved that any non-constant \(J\)-holomorphic disc with boundary in a given Lagrangian submanifold of a smooth almost complex manifold can be decomposed into a sum of a finite number of \(J\)-holomorphic simple discs with the same Lagrangian boundary condition. As a consequence, the author discovers that, in dimensions higher than 6, any generic \(J\)-holomorphic disc is multicovered.
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totally real submanifold
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Lagrangian submanifold
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\(J\)-holomorphic curve
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\(J\)-holomorphic singularities
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transversality
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