Strictification and gluing of Lagrangian distributions on derived schemes with shifted symplectic forms
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arXiv
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| Hauptverfasser: | , , , |
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| Format: | Preprint |
| Veröffentlicht: |
2019
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| _version_ | 1866910293583462400 |
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| author | Borisov, Dennis Katzarkov, Ludmil Sheshmani, Artan Yau, Shing-Tung |
| author_facet | Borisov, Dennis Katzarkov, Ludmil Sheshmani, Artan Yau, Shing-Tung |
| contents | A strictification result is proved for isotropic distributions on derived schemes equipped with negatively shifted homotopically closed $2$-forms. It is shown that any derived scheme over $\mathbb{C}$ equipped with a $-2$-shifted symplectic structure, and having a Hausdorff space of classical points, admits a globally defined Lagrangian distribution as a dg $\mathbb{C}^{\infty}$-manifold. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_1908_00651 |
| institution | arXiv |
| publishDate | 2019 |
| record_format | arxiv |
| spellingShingle | Strictification and gluing of Lagrangian distributions on derived schemes with shifted symplectic forms Borisov, Dennis Katzarkov, Ludmil Sheshmani, Artan Yau, Shing-Tung Algebraic Geometry High Energy Physics - Theory Differential Geometry A strictification result is proved for isotropic distributions on derived schemes equipped with negatively shifted homotopically closed $2$-forms. It is shown that any derived scheme over $\mathbb{C}$ equipped with a $-2$-shifted symplectic structure, and having a Hausdorff space of classical points, admits a globally defined Lagrangian distribution as a dg $\mathbb{C}^{\infty}$-manifold. |
| title | Strictification and gluing of Lagrangian distributions on derived schemes with shifted symplectic forms |
| topic | Algebraic Geometry High Energy Physics - Theory Differential Geometry |
| url | https://arxiv.org/abs/1908.00651 |