Symplectic hypersurfaces and transversality in Gromov-Witten theory

Klaus Mohnke (Humboldt-Universitaet Berlin)

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.