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.
|Title of host publication||XIVth International Congress on Mathematical Physics|
|Subtitle of host publication||Lisbon, 28 July - 2 August 2003|
|Publisher||World Scientific Publishing Co.|
|Number of pages||10|
|ISBN (Print)||981256201X, 9789812562012|
|Publication status||Published - 1 Jan 2006|