2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/64501We give explicit formulas for the multipoint series of Gromov-Witten invariants of CP^1. We use the recursions of the Toda hierarchy to calculate these in degree 0, and the Toda equation and the degree 0 formulas to extend the calculation to higher degrees. We also obtain formulas for the Hodge series for the Hodge classes lambda_g and lambda_{g-1}.10 pagesAlgebraic Geometrytext