Worldsheet integration count after conformal gauge fixing ($d_g+n-k_g=3g-3+n$)

For a stable $n$-point closed-string scattering amplitude on a genus-$g$ surface, let $d_g$ count complex unmarked worldsheet moduli and $k_g$ count complex dimensions of the worldsheet conformal Killing group. Integrating the $n$ vertex positions and moduli, then fixing $k_g$ positions, leaves $d_g+n-k_g$ complex integrations. The punctured Riemann surface moduli dimension identifies this as $3g-3+n$. Faddeev-Popov ghost fields and antighost insertions implement the removed zero modes and the surviving modulus measure; they do not add independently integrated worldsheet coordinates.