Corpus ID: 209516277

Moduli problems for operadic algebras

@article{Calaque2020ModuliPF,
  title={Moduli problems for operadic algebras},
  author={D. Calaque and Ricardo Campos and J. Nuiten},
  journal={arXiv: Algebraic Topology},
  year={2020}
}
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… Expand
3 Citations

References

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Homological algebra of homotopy algebras
Homotopy theory of homotopy algebras
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Formal moduli problems and formal derived stacks
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