nLab GW/DT correspondence

Idea

A correspondence between Gromov-Witten invariants and Donaldson-Thomas invariants.

Related concepts

• Gromov-Witten theory

• Donaldson-Thomas theory

• Pandharipande-Thomas theory?

References

Original articles:

• Davesh Maulik, Nikita Nekrasov, Andrei Okounkov, Rahul Pandharipande, Gromov–Witten theory and Donaldson–Thomas theory, I. Compositio Mathematica. 142 (5): 1263–1285. (2003) (arXiv:math/0312059. doi:10.1112/S0010437X06002302)

• Davesh Maulik, Alexei Oblomkov, Andrei Okounkov, Rahul Pandharipande, Gromov-Witten/Donaldson-Thomas correspondence for toric 3-folds (arXiv:0809.3976)

• Dustin Ross, On GW/DT and Ruan’s Conjecture in All Genus for Calabi-Yau 3-Orbifolds, arXiv:1409.7015

Exposition:

• Henry Liu, Melissa Chiu-Chu Liu, Enumerative Geometry Seminar, Columbia University, Fall 2018, webpage, notes