Deformation quantization of Leibniz algebras

In this paper, we use the local integration of a Leibniz algebra hh using a Baker–Campbell–Hausdorff type formula in order to deformation quantize its linear dual h⁎h⁎. More precisely, we define a natural rack product on the set of exponential functions on h⁎h⁎ which extends to a rack action on C∞(h⁎)C∞(h⁎).