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Gromov-Witten theory and Donaldson-Thomas theory, I

D. Maulik·N. Nekrasov·A. Okounkov·R. Pandharipande
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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.

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D. Maulik, N. Nekrasov, A. Okounkov, R. Pandharipande. 2004-06-05. Gromov-Witten theory and Donaldson-Thomas theory, I. https://arxiv.org/abs/math/0312059

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