Symplectic sums and Gromov-Witten invariants
Geometric Topology
2007-05-23 v1 Symplectic Geometry
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 and . 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.
Cite
@article{arxiv.math/0304298,
title = {Symplectic sums and Gromov-Witten invariants},
author = {Eleny-Nicoleta Ionel},
journal= {arXiv preprint arXiv:math/0304298},
year = {2007}
}