2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/222219In this article, we construct the reduced genus-two Gromov-Witten invariants for certain almost Kähler manifold $(X, ω, J)$ such that $J$ is integrable and satisfies some regularity conditions. In particular, the standard projective space $(¶^n, ω_0, J_0)$ of dimension $n \le 7$ satisfies these conditions. This invariant counts the number of simple genus-two $J$-holomorphic curves that satisfy appropriate number of constraints.59 pagesSymplectic Geometry53D45, 53D30, 37K20text