Relative Gromov-Witten Invariants

@inproceedings{Ionel1999RelativeGI,
  title={Relative Gromov-Witten Invariants},
  author={Eleny-Nicoleta Ionel and T. M.I. and Cambridge and Thomas H. Parker},
  year={1999}
}
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. Gromov-Witten invariants are invariants of a closed symplectic manifold (X, ω). To define them… CONTINUE READING
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