# 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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