Surface group representations to \(\mathrm{SL}(2, \mathbb{C})\) and Higgs bundles with smooth spectral data (Q321687)
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scientific article; zbMATH DE number 6638827
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Surface group representations to \(\mathrm{SL}(2, \mathbb{C})\) and Higgs bundles with smooth spectral data |
scientific article; zbMATH DE number 6638827 |
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Surface group representations to \(\mathrm{SL}(2, \mathbb{C})\) and Higgs bundles with smooth spectral data (English)
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14 October 2016
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From the abstract: We show that for every nonelementary representation of a surface group into \(\mathrm{SL}(2, \mathbb C)\) there is a Riemann surface structure such that the Higgs bundle associate to the representation lies outside the discriminant locus of the Hitchin fibration.
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spectral curve
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Higgs bundle
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complex projective structure
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R-tree
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0.9277141
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0.9276787
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0.9237221
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0.9209428
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0.91499794
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0.90788555
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0.88925976
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