= Borromean handle-pair evaluation
{title2=$H_a=\mathcal D^2/d_a^2$}
For a charge-$a$ component threading a pair of zero-framed auxiliary components in the standard <Borromean rings> surgery arrangement, color both auxiliary components by the <normalized Kirby color>. Relative to the bare $a$ strand, eliminating this pair contributes $H_a=\mathcal D^2/d_a^2$. The <two-strand Kirby projector> applied to the two oppositely oriented portions of the $a$ component supplies a factor $\mathcal D/d_a$ at each of the two eliminations. This local evaluation underlies the surgery calculation of the <handle-cut formula for anyon ground-state degeneracy>.
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