Gromov-Witten theory and Donaldson-Thomas theory, I

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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.
31 pages, revised version

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Algebraic Geometry

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http://salesiana.dossiersoluciones.com/handle/123456789/69435

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0312059
 http://arxiv.org/abs/math/0312059

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arXiv