Gromov-Witten theory and Donaldson-Thomas theory, II
Algebraic Geometry
2007-05-23 v2
Abstract
We discuss the GW/DT correspondence for 3-folds in both the absolute and relative cases. Descendents in Gromov-Witten theory are conjectured to be equivalent to Chern characters of the universal sheaf in Donaldson-Thomas theory. Relative constraints in Gromov-Witten theory are conjectured to correspond in Donaldson-Thomas theory to cohomology classes of the Hilbert scheme of points of the relative divisor. Independent of the conjectural framework, we prove degree 0 formulas for the absolute and relative Donaldson-Thomas theories of toric varieties.
Keywords
Cite
@article{arxiv.math/0406092,
title = {Gromov-Witten theory and Donaldson-Thomas theory, II},
author = {D. Maulik and N. Nekrasov and A. Okounkov and R. Pandharipande},
journal= {arXiv preprint arXiv:math/0406092},
year = {2007}
}
Comments
28 pages, revised version