Symplectic hypersurfaces and transversality in Gromov-Witten theory
arXiv:math/0702887
Abstract
We use Donaldson hypersurfaces to construct pseudo-cycles which define Gromov-Witten invariants for any symplectic manifold which agree with the invariants in the cases where transversality could be achieved by perturbing the almost complex structure.
53 pages, final version