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Spectral data for G-Higgs bundles

Abstract:

We develop a new geometric method of understanding principal G-Higgs bundles through their spectral data, for G a real form of a complex Lie group. In particular, we consider the case of G a split real form, as well as G = SL(2,R), U(p,p), SU(p,p), and Sp(2p,2p). Further, we give some applications of our results, and discuss open questions.

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Institution:
University of Oxford
Division:
MPLS
Department:
Mathematical Institute
Research group:
Oxford Geometry Group
Oxford college:
New College
Role:
Author

Contributors

Division:
MPLS
Department:
Mathematical Institute
Role:
Supervisor


Publication date:
2013
Type of award:
DPhil
Level of award:
Doctoral
Awarding institution:
University of Oxford


Language:
English
Keywords:
Subjects:
UUID:
uuid:7b483c4c-53e4-4449-88c2-7a75d98ac861
Local pid:
ora:7381
Deposit date:
2013-10-01

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