nLab1h ago

Chern-Simons form

Keegan Flood
Contents Context -Chern-Weil theory Differential cohomology differential cohomology Ingredients Connections on bundles Higher abelian differential cohomology Higher nonabelian differential cohomology Fiber integration Application to gauge theory Contents Idea A Chern-Simons form is a differential form naturally associated to a differential form with values in a Lie algebra : it is the form trivializing (locally) a curvature characteristic form of , for an invariant polynomial: where is the...