Boris A. Khesin

Informal complexification and Poisson structures on moduli  spaces
(AMS Transl., Ser. 2, vol. 180 (1997), pp. 147--155).

We show how the Cauchy (or, more generally, the Leray) residue formula can
be understood as an informal complex analog of the Stokes formula. It allows
one to treat the Poisson (and symplectic) structures on the moduli spaces of
flat connections on real manifolds and those structures on the moduli spaces
of holomorphic bundles on complex manifolds in a parallel way.\endabstract