The local Donaldson-Thomas theory of curves
Algebraic Geometry
2009-09-29 v1
Abstract
The local Donaldson-Thomas theory of curves is solved by localization and degeneration methods. The results complete a triangle of equivalences relating Gromov-Witten theory, Donaldson-Thomas theory, and the quantum cohomology of the Hilbert scheme of points of the plane. The quantum differential equation of the Hilbert scheme of points of the plane has a natural interpretation in the local Donaldson-Thomas theory of curves. The solution determines the 1-legged equivariant vertex.
Cite
@article{arxiv.math/0512573,
title = {The local Donaldson-Thomas theory of curves},
author = {A. Okounkov and R. Pandharipande},
journal= {arXiv preprint arXiv:math/0512573},
year = {2009}
}
Comments
75 pages