2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/148401We use virtual neighborhood technique to establish GW-invariants, Quantum cohomology, equivariant GW-invariants, equivariant quantum cohomology and Floer cohomology for general symplectic manifold. We also establish GW-invariants for a family of symplectic manifolds. As a consequence, we prove Arnold conjecture for nondegenerate Hamiltonian symplectomorphisms.Latex, revised version, corrected some mistakes in section 2, 3, improve presentationAlgebraic GeometryDifferential GeometryHigh Energy Physics - Theorytext