Communications in Analysis and Geometry
Volume 14 (2006)
Counting Curves in Elliptic Surfaces by Symplectic Methods
Pages: 107 – 134
We explicitly compute family GW invariants of elliptic surfaces for primitive classes. That involves establishing a TRR formula and a symplectic sum formula for elliptic surfaces and then determining the GW invariants using an argument from . In particular, as in , these calculations also confirm the well-known Yau–Zaslow Conjecture  for primitive classes in $K3$ surfaces.