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Reducible Connections in Massless Topological QCD and 4-manifolds

A. Sako
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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.

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A. Sako. 1997-11-27. Reducible Connections in Massless Topological QCD and 4-manifolds. https://doi.org/10.1016/s0550-3213(98)00191-6

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