2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/147070We compute the quantum cohomology ring $H^*_φ({\bf P}, {\bf C})$ of an arbitrary $d$-dimensional smooth projective toric manifold ${\bf P}_Σ$ associated with a fan $Σ$. The multiplicative structure of $H^*_φ({\bf P}_Σ, {\bf C})$ depends on the choice of an element $avarphi$ in the ordinary cohomology group $H^2({\bf P}_Σ, {\bf C})$. There are many properties of the quantum cohomology rings $H^*_φ({\bf P}_Σ, {\bf C})$ which are supposed to be valid for quantum cohomology rings of Kähler manifolds23 pages, LatexAlgebraic Geometrytext