Corpus ID: 209516277

Moduli problems for operadic algebras

@inproceedings{Calaque2020ModuliPF,
  title={Moduli problems for operadic algebras},
  author={Damien Calaque and Ricardo Campos and Joost Nuiten},
  year={2020}
}
  • Damien Calaque, Ricardo Campos, Joost Nuiten
  • Published 2020
  • Mathematics
  • 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… CONTINUE READING

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    References

    Publications referenced by this paper.
    SHOWING 1-10 OF 57 REFERENCES

    Derived algebraic geometry x: Formal moduli problems

    • Jacob Lurie
    • preprint available at https:// www. math. ias.edu/ ~ lurie/papers/DAG-X.pdf ,
    • 2011
    VIEW 9 EXCERPTS
    HIGHLY INFLUENTIAL

    Math

    • Michael Schlessinger. Functors of Artin rings. Trans. Amer
    • Soc., 130:208– 222,
    • 1968
    VIEW 6 EXCERPTS
    HIGHLY INFLUENTIAL

    Selecta Math

    • Benoit Fresse. Koszul duality of En-operads
    • (N.S.), 17(2):363– 434,
    • 2011
    VIEW 4 EXCERPTS
    HIGHLY INFLUENTIAL

    Cong

    • Thomas Willwacher. Little disks operads, feynman diagrams. In Proc. Int
    • Of Math,
    • 2018
    VIEW 3 EXCERPTS
    HIGHLY INFLUENTIAL

    Algebraic & Geometric Topology

    • Eduardo Hoefel, Muriel Livernet. On the spectral sequence of the swissche operad
    • 13(4):2039–2060,
    • 2013
    VIEW 2 EXCERPTS
    HIGHLY INFLUENTIAL

    Unifying derived deformation theories

    VIEW 5 EXCERPTS
    HIGHLY INFLUENTIAL

    Homotopy Relat

    • Felix Wierstra. Algebraic Hopf invariants, J rationalmodelsformappingspaces.
    • Struct., 14(3):719–747,
    • 2019

    Israel Journal of Mathematics

    • Yonatan Harpaz, Joost Nuiten, Matan Prasma. Tangent categories of algebras over operads
    • Oct
    • 2019