Seiberg--Witten Monopoles on Seifert Fibered Spaces

Details Seiberg--Witten Monopoles on Seifert Fibered Spaces Seiberg--Witten Monopoles on Seifert Fibered Spaces

1996-12-23

arxiv.org/abs/math/9612221v1

Mathematics

Geometric Topology

Scientific paper

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.

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