Abstract

The theory of Chern–Simons secondary characteristic classes is used to study the gauge group cohomology associated with Yang–Mills theories in sectors with persistent boundary effects. A generalized ‘‘descent’’ tower of globally defined cocycles (for manifolds with boundaries) is adopted and its relevance to monopole physics is investigated by means of the Christ–Jackiw interpretation for Yang–Mills dyons. In particular, it is found that three-cocycles can arise in the monopole sector of gauge theories and explicit formulas are derived for their description.

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