= Framed instanton moduli space
{title2=$\dim_{\mathbb R}\mathcal M_k^{\rm framed}=8k$}
Fix a trivialization at infinity and divide smooth finite-action <instantons> only by <gauge transformations> tending to the identity there. Global gauge orientations remain genuine parameters. For regular $SU(2)$ <instantons> of charge magnitude $k$, the real dimension is $8k$ by the <ADHM construction>. Forgetting the framing divides by the three-dimensional global <group action> of $SU(2)$, giving $8k-3$ on the irreducible locus. For one <instanton> the framed parameters are four center coordinates, one positive size, and three orientation coordinates.
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