Journal of Symplectic Geometry
Volume 5 (2007)
Symplectic hypersurfaces and transversality in Gromov-Witten theory
Pages: 281 – 356
We present a new method to prove transversality for holomorphic curves in symplectic manifolds, and show how it leads to a definition of genus zero Gromov-Witten invariants. The main idea is to introduce additional marked points that are mapped to a symplectic hypersurface of high degree in order to stabilize the domains of holomorphic maps.