Answers are grounded in this paper and cite their sources.
We define relative Gromov-Witten invariants of a symplectic manifold relative to a codimension-two symplectic submanifold. These invariants are the key ingredients in the symplectic sum formula of [IP4]. The main step is the construction of a compact space of 'V -stable' maps. Simple special cases include the Hurwitz numbers for algebraic curves and the enumerative invariants of Caporaso and Harris.
No takes yet. Share an insight, caveat, or question.
Ionel et al. (2003) studied this question.
Synapse has enriched 10 related papers. Consider them for comparative context: