Gromov-Witten/Donaldson-Thomas correspondence for toric 3-folds
  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. 
D. Maulik, A. Oblomkov, A. Okounkov, and R. Pandharipande