Generalized Kaehler geometry of instanton moduli spaces
  We prove that Hitchin's generalized Kaehler structure on the moduli space of instantons over a compact, even generalized Kaehler four-manifold may be obtained by generalized Kaehler reduction, in analogy with the usual Kaehler case. The underlying reduction of Courant algebroids is a realization of Donaldson's $\mu$-map in degree three. 
Henrique Bursztyn, Gil R. Cavalcanti and Marco Gualtieri
math.DG hep-th math.SG