Virtual neighborhoods and pseudoholomorphic curves
Abstract
We use virtual neighborhood technique to establish GWinvariants, Quantum cohomology, equivariant GWinvariants, equivariant quantum cohomology and Floer cohomology for general symplectic manifold. We also establish GWinvariants for a family of symplectic manifolds. As a consequence, we prove Arnold conjecture for nondegenerate Hamiltonian symplectomorphisms.
 Publication:

arXiv eprints
 Pub Date:
 November 1996
 arXiv:
 arXiv:alggeom/9611021
 Bibcode:
 1996alg.geom.11021R
 Keywords:

 Mathematics  Algebraic Geometry;
 High Energy Physics  Theory;
 Mathematics  Differential Geometry
 EPrint:
 Latex, revised version, corrected some mistakes in section 2, 3, improve presentation