Reducible Connections in Massless Topological QCD and 4-manifolds

Abstract

A role of reducible connections in Non-Abelian Seiberg-Witten invariants is analyzed with massless Topological QCD where monopole is extended to non-Abelian groups version. By giving small external fields, we found that vacuum expectation value can be separated into a part from Donaldson theory, a part from Abelian Monopole theory and a part from non-Abelian monopole theory. As a by-product, we find identities of U(1) topological invariants. In our proof, the duality relation and Higgs mechanism are not necessary.

23 pages, Latex, Some mistakes and typographical errors are revised in it. Especially, results written in section 4 are changed

References in corpus (6)

• Supersymmetric Yang-Mills Theory On A Four-Manifold
• Quaternionic Monopoles
• Topological Matter in Four Dimensions
• Topological QCD
• Non-Abelian Monopoles on Four-Manifolds
• Topological Symmetry Breaking on Einstein Manifolds

Cited by in corpus (1)

• Euler number of Instanton Moduli space and Seiberg-Witten invariants