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Symplectic sums and Gromov-Witten invariants

Eleny-Nicoleta Ionel
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Abstract

Gromov-Witten invariants of a symplectic manifold are a count of holomorphic curves. We describe a formula expressing the GW invariants of a symplectic sum $X# Y$ in terms of the relative GW invariants of $X$ and $Y$. This formula has several applications to enumerative geometry. As one application, we obtain new relations in the cohomology ring of the moduli space of complex structures on a genus g Riemann surface with n marked points.

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BibTeXRIS

Eleny-Nicoleta Ionel. 2003-04-21. Symplectic sums and Gromov-Witten invariants. https://arxiv.org/abs/math/0304298

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