Seiberg-Witten theory and the geometric structure \(\mathbb{R}\times H^2\) (Q1026992)
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scientific article; zbMATH DE number 5572725
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Seiberg-Witten theory and the geometric structure \(\mathbb{R}\times H^2\) |
scientific article; zbMATH DE number 5572725 |
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Seiberg-Witten theory and the geometric structure \(\mathbb{R}\times H^2\) (English)
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30 June 2009
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The authors study the moduli space of solutions to the monopole equations over an oriented closed 3-manifold \(M\) with geometric structure \({\mathbb R} \times H^2\). They prove that the moduli space consists of a single point cut out transversally so that the Seiberg--Witten invariant is \(\pm 1\) and that \(\alpha = c_1(K_M^{\pm 1})\) is a monopole class.
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Seiberg-Witten theory
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geometric structure
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monopole class
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parallel spinor
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