Seiberg-Witten monopoles on Seifert fibered spaces (1997)
by
Tomasz Mrowka
,
Peter Ozsváth
,
Baozhen Yu
| Venue: | Comm. Anal. Geom |
| Citations: | 52 - 9 self |
BibTeX
@ARTICLE{Mrowka97seiberg-wittenmonopoles,
author = {Tomasz Mrowka and Peter Ozsváth and Baozhen Yu},
title = {Seiberg-Witten monopoles on Seifert fibered spaces},
journal = {Comm. Anal. Geom},
year = {1997},
pages = {685--791}
}
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Abstract
Abstract. 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. 1.
