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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...

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Bibliographic Details
Main Authors: García-Prada, Oscar (Author) , Peón-Nieto, Ana (Author) , Ramanan, Sundararaman (Author)
Format: Article (Journal)
Language:English
Published: April 2018
In: Transactions of the American Mathematical Society
Year: 2018, Volume: 370, Issue: 4, Pages: 2907-2953
ISSN:1088-6850
DOI:10.1090/tran/7363
Online Access:Verlag, Volltext: http://dx.doi.org/10.1090/tran/7363
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Author Notes:Oscar García-Prada, Ana Peón-Nieto, and S. Ramanan
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Summary: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.
Item Description:Published electronically: November 14, 2017
Gesehen am 20.03.2018
Physical Description:Online Resource
ISSN:1088-6850
DOI:10.1090/tran/7363

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