Higgs bundles for real groups and the Hitchin-Kostant-Rallis section
We consider the moduli space of polystable-twisted-Higgs bundles over a compact Riemann surface, where is a real reductive Lie group and is a holomorphic line bundle over. Evaluating the Higgs field on a basis of the ring of polynomial invariants of the isotropy representation defines the Hitchin ma...
Gespeichert in:
| Hauptverfasser: | , , |
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| Dokumenttyp: | Article (Journal) |
| Sprache: | Englisch |
| Veröffentlicht: |
April 2018
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| In: |
Transactions of the American Mathematical Society
Year: 2018, Jahrgang: 370, Heft: 4, Pages: 2907-2953 |
| ISSN: | 1088-6850 |
| DOI: | 10.1090/tran/7363 |
| Online-Zugang: | Verlag, Volltext: http://dx.doi.org/10.1090/tran/7363
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| Verfasserangaben: | Oscar García-Prada, Ana Peón-Nieto, and S. Ramanan |
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| 520 | |a We consider the moduli space of polystable-twisted-Higgs bundles over a compact Riemann surface, where is a real reductive Lie group and is a holomorphic line bundle over. Evaluating the Higgs field on a basis of the ring of polynomial invariants of the isotropy representation defines the Hitchin map. | ||
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