  We study the Gromov-Witten and Donaldson-Thomas correspondence conjectured in
[MNOP1, MNOP2], for trivial elliptic fibrations. In particular, we verify the
Gromov-Witten and Donaldson-Thomas correspondence for primary fields when the
threefold is $E \times S$ where $E$ is a smooth elliptic curve and $S$ is a
smooth surface with numerically trivial canonical class.
