The Gromov-Witten and Donaldson-Thomas correspondence for trivial elliptic fibrations

Details The Gromov-Witten and Donaldson-Thomas correspondence for trivial elliptic fibrations The Gromov-Witten and Donaldson-Thomas correspondence for trivial elliptic fibrations

2006-01-11

arxiv.org/abs/math/0601257v1

Mathematics

Algebraic Geometry

17 pages

Scientific paper

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.

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