Gromov-Witten/Donaldson-Thomas correspondence for toric 3-folds
Algebraic Geometry
2008-09-24 v1
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.
Keywords
Cite
@article{arxiv.0809.3976,
title = {Gromov-Witten/Donaldson-Thomas correspondence for toric 3-folds},
author = {D. Maulik and A. Oblomkov and A. Okounkov and R. Pandharipande},
journal= {arXiv preprint arXiv:0809.3976},
year = {2008}
}
Comments
46 pages