Non-Abelian topological quantum held theory and scattering of self-dual field configurations - art. no. 124014

A non-Abelian topological quantum field theory describing the scattering of self-dual field configurations over topologically non-trivial Riemann surf aces, arising from the reduction of 4-dimensionaI self-dual Yang-Mills fiel ds, is introduced. It is shown that the phase space of the theory can be ex actly quantized in terms of the space of holomorphic structures over stable vector bundles of degree zero over Riemann surfaces. The Dirac monopoles a re particular static solutions of the field equations. Its relation to topo logical gravity is discussed. [S0556-2821(99)03120-3].