2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/76855For a complex projective manifold Gromov-Witten invariants can be constructed either algebraically or symplectically. Using the versions of Gromov-Witten theory by Behrend and Fantechi on the algebraic side and by the author on the symplectic side, we prove that both points of view give the same results. A similar statement has been obtained independently by Li and Tian using their definitions of algebraic and symplectic Gromov-Witten invariants (alg-geom/9712035).43 pages, Latex2e with AMS-fontsAlgebraic GeometryGeometric TopologySymplectic GeometryAlgebraic and symplectic Gromov-Witten invariants coincidetext