= Instanton moduli space
{title2=$\mathcal M_k=\{A:*F_A=\pm F_A,\ c_2=k\}/\mathcal G$}
= Yang-Mills instanton moduli space
{c}
{synonym}
For a fixed <principal bundle>, orientation and instanton sign, quotient the <Yang-Mills instanton> solutions by <gauge equivalence of principal connections>. Boundary or framing conditions determine the gauge group $\mathcal G$ on a noncompact base. At an anti-self-dual solution, infinitesimal deformations obey $P_+D_Aa=0$ modulo $a\mapsto a+D_A\varepsilon$. Combining this with $D_A^*a=0$ gives an elliptic deformation operator. This description does not assert that every quotient is a smooth manifold: reducible connections can have nontrivial stabilizers.
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