Formal moduli problems with cohomological constraints
Fuente:
arXiv
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| Format: | Preprint |
| Veröffentlicht: |
2022
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| _version_ | 1866915515022180352 |
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| author | Doan, An Khuong |
| author_facet | Doan, An Khuong |
| contents | We aim to generalize Lurie-Pridham's famous $\infty$-correspondence between formal moduli problems and differential graded Lie algebras to the context where some cohomological conditions are imposed. Specifically, a natural equivalence between formal moduli problems with cohomological constraints and derived cohomology jump functors is provided, thereby answering affirmatively a question posed by N. Budur and B. Wang in \cite{1}. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2209_12432 |
| institution | arXiv |
| publishDate | 2022 |
| record_format | arxiv |
| spellingShingle | Formal moduli problems with cohomological constraints Doan, An Khuong Algebraic Geometry 14D15, 14B10, 13D10 We aim to generalize Lurie-Pridham's famous $\infty$-correspondence between formal moduli problems and differential graded Lie algebras to the context where some cohomological conditions are imposed. Specifically, a natural equivalence between formal moduli problems with cohomological constraints and derived cohomology jump functors is provided, thereby answering affirmatively a question posed by N. Budur and B. Wang in \cite{1}. |
| title | Formal moduli problems with cohomological constraints |
| topic | Algebraic Geometry 14D15, 14B10, 13D10 |
| url | https://arxiv.org/abs/2209.12432 |