2003/04/21 by Eleny-Nicoleta Ionel
Mathematics · #math.GT #math.SG #msc:57R17 #msc:53D45 #msc:14N35
published as Proceedings of the ICM, Beijing 2002, vol. 2, 427--436
arxiv created 2003/04/21 · arxiv updated 2009/11/30
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.