Equivariant differential characters and Chern–Simons bundles

@article{Perez2019EquivariantDC,
  title={Equivariant differential characters and
Chern–Simons bundles},
  author={Roberto Ferreiro P'erez},
  journal={Algebraic \& Geometric Topology},
  year={2019}
}
We construct Chern-Simons bundles as $\mathrm{Aut}^{+}P$-equivariant $U(1)$ -bundles with connection over the space of connections $\mathcal{A}_{P}$ on a principal $G$-bundle $P\rightarrow M$. We show that the Chern-Simons bundles are determined up to an isomorphisms by means of its equivariant holonomy. The space of equivariant holonomies is shown to coincide with the space of equivariant differential characteres of second order. Furthermore, we prove that the Chern-Simons theory provides, in… 

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