Virtual neighborhoods and pseudo-holomorphic curves

Details Virtual neighborhoods and pseudo-holomorphic curves Virtual neighborhoods and pseudo-holomorphic curves

1996-11-19

arxiv.org/abs/alg-geom/9611021v2

Physics

High Energy Physics

High Energy Physics - Theory

Latex, revised version, corrected some mistakes in section 2, 3, improve presentation

Scientific paper

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.

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