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arXiv:math/0312059 [math.AG]AbstractReferencesReviewsResources

Gromov-Witten theory and Donaldson-Thomas theory, I

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

Published 2003-12-02, updated 2004-06-05Version 3

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.

Comments: 31 pages, revised version
Categories: math.AG
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