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Relative Gromov-Witten Invariants

Eleny-Nicoleta Ionel·Thomas H. Parker
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Abstract

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.

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Eleny-Nicoleta Ionel, Thomas H. Parker. 2004-01-21. Relative Gromov-Witten Invariants. https://arxiv.org/abs/math/9907155

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