A remark on T-duality and quantum volumes of zero-brane moduli spaces

T-duality (Fourier-Mukai duality) and properties of classical instanton moduli spaces can be used to deduce some properties of ${\alpha }^{\mathrm{\prime }}$-corrected moduli spaces of branes for Type IIA string theory compactified on $K3$ or $T^4$. Some interesting differences between the two compactifications are exhibited.