Shifted symplectic higher Lie groupoids and classifying spaces (Q2679884)
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scientific article; zbMATH DE number 7646162
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Shifted symplectic higher Lie groupoids and classifying spaces |
scientific article; zbMATH DE number 7646162 |
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Shifted symplectic higher Lie groupoids and classifying spaces (English)
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26 January 2023
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In this paper, the authors introduce the definition of \(m\)-shifted symplectic Lie \(n\)-groupoids and develop the theory of symplectic Morita equivalence between two symplectic Lie \(n\)-groupoids. Various models for the 2-shifted symplectic structures are then obtained and explicit symplectic Morita equivalence are constructed in this setting.
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Lie n-groupoids
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shifted symplectic structures
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2-shifted symplectic structures
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classifying stacks
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quadratic Lie algebras
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Morita equivalence
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