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arXiv · 0809.3976

Gromov-Witten/Donaldson-Thomas correspondence for toric 3-folds

D. Maulik·A. Oblomkov·A. Okounkov·R. Pandharipande
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Abstract

We prove the equivariant Gromov-Witten theory of a nonsingular toric 3-fold X with primary insertions is equivalent to the equivariant Donaldson-Thomas theory of X. As a corollary, the topological vertex calculations by Agangic, Klemm, Marino, and Vafa of the Gromov-Witten theory of local Calabi-Yau toric 3-folds are proven to be correct in the full 3-leg setting.

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D. Maulik, A. Oblomkov, A. Okounkov, R. Pandharipande. 2008-09-23. Gromov-Witten/Donaldson-Thomas correspondence for toric 3-folds. https://arxiv.org/abs/0809.3976

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