Seiberg–Witten Monopoles on Seifert Fibered Spaces
Tomasz S. Mrowka, Peter S. Ozsváth, and Baozhen Yu
In this paper, we investigate the Seiberg-Witten gauge theory for Seifert fibered spaces. The monopoles over these three-manifolds, for a particular choice of metric and perturbation, are completely described. Gradient flow lines between monopoles are identified with holomorphic data on an associated ruled surface, and a dimension formula for such flows is calculated.