Gromov-Witten theory and Donaldson-Thomas theory, I
Algebraic Geometry
2007-05-23 v3
Abstract
We conjecture an equivalence between the Gromov-Witten theory of 3-folds and the holomorphic Chern-Simons theory of Donaldson-Thomas. For Calabi-Yau 3-folds, the equivalence is defined by the change of variables, exp(iu)=-q, where u is the genus parameter of GW theory and q is charge parameter of DT theory. The conjecture is proven for local Calabi-Yau toric surfaces.
Keywords
Cite
@article{arxiv.math/0312059,
title = {Gromov-Witten theory and Donaldson-Thomas theory, I},
author = {D. Maulik and N. Nekrasov and A. Okounkov and R. Pandharipande},
journal= {arXiv preprint arXiv:math/0312059},
year = {2007}
}
Comments
31 pages, revised version