论文标题

Seiberg-witten单极和平坦PSL(2; r)连接

Seiberg-Witten monopoles and flat PSL(2;R)-connections

论文作者

Haydys, Andriy

论文摘要

我表明,满足某些“稳定性条件”的三个manifolds上的平坦PSL(2; r)连接可以解释为带有两个纺纱器的塞伯格(Seiberg-witten)方程的解决方案。这用于构建Seiberg-witten Moduli空间的明确示例。另外,我表明,在此设置中,爆破集满足了某些非平凡的拓扑限制。

I show that flat PSL(2;R)-connections on three-manifolds satisfying certain 'stability condition' can be interpreted as solutions of the Seiberg-Witten equations with two spinors. This is used to construct explicit examples of the Seiberg-Witten moduli spaces. Also, I show that in this setting blow up sets satisfy certain non-trivial topological restrictions.

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