In the talk I will show how the Cauchy (or, more generally, the Leray) residue formula can be viewed as an informal complex analogue of the Stokes formula. This allows one to define holomorphic counterparts of various gauge-specific and topological objects.
In particular, one can treat in a parallel way 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. Another application of this "complexification dictionary" is a holomorphic version of the linking number of two curves in a three-fold and its generalizations.
Suivant la conférence, une réception a eu lieu au salon Maurice-L'Abbé.
After the lecture, a reception was held in the Maurice-L'Abbé salon.
5 octobre 1998, webmaster@CRM.UMontreal.CA