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Let $G$ be a compact Lie group with Lie algebra $\mathfrak{g}$ and $E\twoheadrightarrow B$ be a principal $G$-bundle over a compact orientable Riemannian manifold $B$. For a connection $A\in\Omega_{\mathrm{Ad}}^1(E,\mathfrak{g})\cong\Omega^1(B,\operatorname{Ad}(E))$ and a section $\Phi\in\Omega_{...
