Spaces of Hermitian triples and the Seiberg-Witten equations

In a previous work we described a canonical map τ of the space of all Hermitian triples to the real cohomology space. In this paper we use this map to introduce new equations, which are gauge-invariant with respect to the action of Diff+ X. We also describe a connection between these equations and the Seiberg-Witten equations and invariants for 4-manifolds