Abstract
In the first part of this chapter, we define the Chern-Simons action for U(1)-bundles, following [Man98]. We describe the moduli space of gauge equivalence classes of flat U(1)-bundles, which turn out to be the critical points of the action functional. However, for our purposes this ’classical’ moduli space of solutions is not suitable, but instead we have to take the derived moduli space.
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