The space of surface group representations (Q1313524)
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scientific article; zbMATH DE number 492760
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | The space of surface group representations |
scientific article; zbMATH DE number 492760 |
Statements
The space of surface group representations (English)
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31 January 1994
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Let \(G\) be a connected Lie group and \(\pi\) its fundamental group. By \(\Hom (\pi,G)\) is denoted the analytic space of all homomorphisms from \(\pi\) to \(G\). It is proved the following Theorem. Let \(G\) be a connected complex semi-simple Lie group. Then \(\pi_ 0 (\Hom (\pi,G))\) is isomorphic to \(\pi_ 1(G)\).
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fundamental group
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flat connection
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holomorphic principal \(G\)-bundle
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complex semi-simple Lie group
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