Counting Curves in Elliptic Surfaces by Symplectic Methods
Junho Lee
Abstract
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 ip3. In particular, as in bl1, these calculations also confirm the well-known Yau-Zaslow Conjecture yz for primitive classes in K3 surfaces.
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