A structure theorem for the Gromov-Witten invariants of Kahler surfaces
Abbreviated Journal Title
J. Differ. Geom.
ELLIPTIC-SURFACES; BLOW-UPS; GRAVITY; Mathematics
We prove a structure theorem for the Gromov-Witten invariants of compact Kahler surfaces with geometric genus p(g) > 0. Under the technical assumption that there is a canonical divisor that is a disjoint union of smooth components, the theorem shows that the GW invariants are universal functions determined by the genus of this canonical divisor components and the holomorphic Euler characteristic of the surface. We compute special cases of these universal functions.
Journal of Differential Geometry
"A structure theorem for the Gromov-Witten invariants of Kahler surfaces" (2007). Faculty Bibliography 2000s. 7339.