Localizing gauge theories

Niklta A. Nekrasov

Research output: Chapter in Book/Report/Conference proceedingChapterpeer-review

23 Citations (Scopus)

Abstract

We study N = 2 supersymmetric gauge theories on toric four dimensional manifolds. We recall the notion of Ω-background and calculate the partition function of gauge theory in this background. As a result, we get generalizations of the formulae of the author for the theories on ℝ4 and Nakajima-Yoshioka for the theories on ℝ4 blown up at one point. In the case of compact toric space our results give an alternative derivation of Donaldson invariants, and generalize the results of Göttche-Zagier.

Original languageEnglish
Title of host publicationXIVth International Congress on Mathematical Physics
Subtitle of host publicationLisbon, 28 July - 2 August 2003
PublisherWorld Scientific Publishing Co.
Pages645-654
Number of pages10
ISBN (Electronic)9789812704016
ISBN (Print)981256201X, 9789812562012
DOIs
Publication statusPublished - 1 Jan 2006
Externally publishedYes

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