Deformation in holomorphic Poisson manifolds (Q344178)
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scientific article; zbMATH DE number 6655153
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Deformation in holomorphic Poisson manifolds |
scientific article; zbMATH DE number 6655153 |
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Deformation in holomorphic Poisson manifolds (English)
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22 November 2016
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This paper deals with the deformation problem of a coisotropic submanifold Y in a holomorphic Poisson manifold X. It starts with recalling the basic notions and results. Then, under the assumption that the submanifold Y has a holomorphic tubular neighborhood, the author associates to Y an \(L_\infty\) algebra. It is finally proved how to control the simultaneous deformations of the holomorphic structure on X.
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holomorphic Poisson manifold
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coisotropic submanifold
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tubular neighborhood
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\(L_\infty\) algebra
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deformations
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