Seiberg--Witten Monopoles on Seifert Fibered Spaces
几何拓扑
2009-09-25 v1 微分几何
摘要
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.
引用
@article{arxiv.math/9612221,
title = {Seiberg--Witten Monopoles on Seifert Fibered Spaces},
author = {Tomasz S. Mrowka and Peter S. Ozsváth and Baozhen Yu},
journal= {arXiv preprint arXiv:math/9612221},
year = {2009}
}