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- W4287977914 abstract "A theorem of Pridham and Lurie provides an equivalence between formal moduli problems and Lie algebras in characteristic zero. We prove a generalization of this correspondence, relating formal moduli problems parametrized by algebras over a Koszul operad to algebras over its Koszul dual operad. In particular, when the Lie algebra associated to a deformation problem is induced from a pre-Lie structure it corresponds to a permutative formal moduli problem. As another example we obtain a correspondence between operadic formal moduli problems and augmented operads." @default.
- W4287977914 created "2022-07-26" @default.
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- W4287977914 date "2019-12-31" @default.
- W4287977914 modified "2023-09-27" @default.
- W4287977914 title "Moduli problems for operadic algebras" @default.
- W4287977914 doi "https://doi.org/10.48550/arxiv.1912.13495" @default.
- W4287977914 hasPublicationYear "2019" @default.
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