Gromov-Witten/Donaldson-Thomas correspondence for toric 3-folds
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- Maulik, D., Oblomkov, A., Okounkov, A. et al. Invent. math. (2011) 186: 435. doi:10.1007/s00222-011-0322-y
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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, Mariño, 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.