2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/79548We generalize the theorems in {\it Mirror Principle I} and {\it II} to the case of general projective manifolds without the convexity assumption. We also apply the results to balloon manifolds, and generalize to higher genus.Uncomment line "listtoc" and TeX twice to get T.O.CAlgebraic GeometryDifferential Geometrytext