Open Access
2010 The local Donaldson–Thomas theory of curves
A Okounkov, R Pandharipande
Geom. Topol. 14(3): 1503-1567 (2010). DOI: 10.2140/gt.2010.14.1503

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.

Citation

Download Citation

A Okounkov. R Pandharipande. "The local Donaldson–Thomas theory of curves." Geom. Topol. 14 (3) 1503 - 1567, 2010. https://doi.org/10.2140/gt.2010.14.1503

Information

Received: 22 January 2010; Accepted: 2 May 2010; Published: 2010
First available in Project Euclid: 20 December 2017

zbMATH: 1205.14067
MathSciNet: MR2679579
Digital Object Identifier: 10.2140/gt.2010.14.1503

Subjects:
Primary: 14N10

Keywords: Donaldson–Thomas , Gromov–Witten , Hilbert scheme

Rights: Copyright © 2010 Mathematical Sciences Publishers

Vol.14 • No. 3 • 2010
MSP
Back to Top