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- W2965432466 abstract "This paper studies the role of dg-Lie algebroids in derived deformation theory. More precisely, we provide an equivalence between the homotopy theories of formal moduli problems and dg-Lie algebroids over a commutative dg-algebra of characteristic zero. At the level of linear objects, we show that the category of representations of a dg-Lie algebroid is an extension of the category of quasi-coherent sheaves on the corresponding formal moduli problem. We describe this extension geometrically in terms of pro-coherent sheaves." @default.
- W2965432466 created "2019-08-13" @default.
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- W2965432466 date "2019-10-01" @default.
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- W2965432466 title "Koszul duality for Lie algebroids" @default.
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- W2965432466 doi "https://doi.org/10.1016/j.aim.2019.106750" @default.
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