Journal of Symplectic Geometry
Volume 14 (2016)
Absolute vs. relative Gromov–Witten invariants
Pages: 1189 – 1250
We compare the absolute and relative Gromov–Witten invariants of compact symplectic manifolds when the symplectic hypersurface contains no relevant holomorphic curves. We show that these invariants are then the same, except in a narrow range of dimensions of the target and genera of the domains, and provide examples when they fail to be the same.