Virtual neighborhoods and pseudo-holomorphic curves
Abstract
Description
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.
Latex, revised version, corrected some mistakes in section 2, 3, improve presentation
Latex, revised version, corrected some mistakes in section 2, 3, improve presentation