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arXiv · 2001.07589

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

Andriy Haydys
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Abstract

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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Andriy Haydys. 2020-01-21. Seiberg-Witten monopoles and flat PSL(2;R)-connections. https://arxiv.org/abs/2001.07589

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