Deformation quantization of a dimensionally reduced Seiberg-Witten moduli space

We have shown in [2]that the moduli space N of the dimensionally reduced Seiberg-Witten equations with a Higgs field has a symplectic form Ω. We construct a Moyal-Weyl product C∞(N)[h]. This deformation quantization corresponds to the Poisson structure induced by the same symplectic form on N.