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Title: Spectral data for G-Higgs bundles
Author: Schaposnik, Laura P.
ISNI:       0000 0004 2747 2892
Awarding Body: University of Oxford
Current Institution: University of Oxford
Date of Award: 2013
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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.
Supervisor: Hitchin, Nigel J. Sponsor: New College graduate scholarship ; Clarendon award (Oxford Press)
Qualification Name: Thesis (Ph.D.) Qualification Level: Doctoral
EThOS ID:  DOI: Not available
Keywords: Geometry ; Higgs bundles ; Hitchin fibration ; spectral data