Nekrasov's Partition Function and Refined Donaldson-Thomas Theory: the Rank One Case

• Published in: Symmetry, Integrability and Geometry: Methods and Applications
• Date: 2012
• Main Author: Szendrői, B.
• Format: Article
• Language: English
• Published: Інститут математики НАН України 2012
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/148654
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: Nekrasov's Partition Function and Refined Donaldson-Thomas Theory: the Rank One Case / B. Szendrői // Symmetry, Integrability and Geometry: Methods and Applications. — 2012. — Т. 8. — Бібліогр.: 31 назв. — англ.

This paper studies geometric engineering, in the simplest possible case of rank one (Abelian) gauge theory on the affine plane and the resolved conifold. We recall the identification between Nekrasov's partition function and a version of refined Donaldson-Thomas theory, and study the relationsh...