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Gromov-Witten theory and Donaldson-Thomas theory, I

机译:Gromov-Witten theory and Donaldson-Thomas theory, I

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摘要

We conjecture an equivalence between the Gromov-Witten theory of 3-folds and the holomorphic Chern-Simons theory of Donaldson and Thomas. For Calabi-Yau 3-folds. the equivalence is defined by the change of variables e(iu) = -q, where u is the genus parameter of Gromov-Witten theory and q is the Euler characteristic parameter of Donaldson-Thomas theory. The conjecture is proven for local Calabi-Yau toric surfaces.

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