THE GROMOV–WITTEN AND DONALDSON–THOMAS CORRESPONDENCE FOR TRIVIAL ELLIPTIC FIBRATIONS

Abstract

We study the Gromov–Witten and Donaldson–Thomas correspondence conjectured in [16, 17] for trivial elliptic fibrations. In particular, we verify the Gromov–Witten and Donaldson–Thomas correspondence for primary fields when the threefold is E × S where E is a smooth elliptic curve and S is a smooth surface with numerically trivial canonical class.