Shifted symplectic structures on derived Quot-stacks II -- Derived Quot-schemes as dg manifolds
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arXiv
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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2023
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| _version_ | 1866913670328483840 |
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| author | Borisov, Dennis Katzarkov, Ludmil Sheshmani, Artan |
| author_facet | Borisov, Dennis Katzarkov, Ludmil Sheshmani, Artan |
| contents | It is proved that derived Quot-schemes, as defined by Ciocan-Fontanine and Kapranov, are represented by dg manifolds of finite type. This is the second part if a work aimed to analyze shifted symplectic structures on moduli spaces of coherent sheaves on Calabi--Yau manifolds. The first part related dg manifolds to derived schemes as defined by Toën and Vezzosi. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2312_02815 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Shifted symplectic structures on derived Quot-stacks II -- Derived Quot-schemes as dg manifolds Borisov, Dennis Katzarkov, Ludmil Sheshmani, Artan Algebraic Geometry 14A20, 14N35, 14J35, 14F05, 55N22, 53D30 It is proved that derived Quot-schemes, as defined by Ciocan-Fontanine and Kapranov, are represented by dg manifolds of finite type. This is the second part if a work aimed to analyze shifted symplectic structures on moduli spaces of coherent sheaves on Calabi--Yau manifolds. The first part related dg manifolds to derived schemes as defined by Toën and Vezzosi. |
| title | Shifted symplectic structures on derived Quot-stacks II -- Derived Quot-schemes as dg manifolds |
| topic | Algebraic Geometry 14A20, 14N35, 14J35, 14F05, 55N22, 53D30 |
| url | https://arxiv.org/abs/2312.02815 |