The minimal model for the Batalin–Vilkovisky operad

@article{DrummondCole2011TheMM,
  title={The minimal model for the Batalin–Vilkovisky operad},
  author={Gabriel C. Drummond-Cole and Bruno Vallette},
  journal={Selecta Mathematica},
  year={2011},
  volume={19},
  pages={1-47}
}
The purpose of this paper is to explain and to generalize, in a homotopical way, the result of Barannikov–Kontsevich and Manin, which states that the underlying homology groups of some Batalin–Vilkovisky algebras carry a Frobenius manifold structure. To this extent, we first make the minimal model for the operad encoding BV-algebras explicit. Then, we prove a homotopy transfer theorem for the associated notion of homotopy BV-algebra. The final result provides an extension of the action of the… Expand

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