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

Dan Edidin; Zhenbo Qin

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

Algebraic Geometry 2007-05-23 v1

Authors: Dan Edidin , Zhenbo Qin

Abstract

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.

Keywords

gromov-witten theory donaldson-thomas theory elliptic fibration primary fields shimura variety canonical class

Cite

@article{arxiv.math/0601257,
  title  = {The Gromov-Witten and Donaldson-Thomas correspondence for trivial elliptic fibrations},
  author = {Dan Edidin and Zhenbo Qin},
  journal= {arXiv preprint arXiv:math/0601257},
  year   = {2007}
}

Comments

17 pages

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