Relative Gromov-Witten invariants and symplectic field theory -- Eric Katz

The Relative Gromov-Witten invariants of Li and the Symplectic Field Theory of Eliashberg, Givental, and Hofer are approaches to relative maps. We study the geometry of the moduli space of relative stable morphisms to construct a formalism of relative GW invariants analogous to SFT, including a homology theory.