On the topological theory of self-dual connections over noncompact Riemann surfaces

Abstract

A topological action for self-dual connections over noncompact Riemann surfaces is proposed. TheJ formulation and the associated linear system are obtained. A new connection is constructed, depending on a Kac-Moody parameter such that its flatness condition is theJ-equation associated to the self-dual problem. The algebra of infinitesimal Backlund transformations depending on this Kac-Moody parameter is constructed.