We 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.
- Pub Date:
- November 1996
- Mathematics - Algebraic Geometry;
- High Energy Physics - Theory;
- Mathematics - Differential Geometry
- Latex, revised version, corrected some mistakes in section 2, 3, improve presentation