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

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

2008-09-23

arxiv.org/abs/0809.3976v1

Mathematics

Algebraic Geometry

46 pages

Scientific paper

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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