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Spectral data for G-Higgs bundles

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.

Identiferoai:union.ndltd.org:bl.uk/oai:ethos.bl.uk:581370
Date January 2013
CreatorsSchaposnik, Laura P.
ContributorsHitchin, Nigel J.
PublisherUniversity of Oxford
Source SetsEthos UK
Detected LanguageEnglish
TypeElectronic Thesis or Dissertation
Sourcehttp://ora.ox.ac.uk/objects/uuid:7b483c4c-53e4-4449-88c2-7a75d98ac861

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