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Conference Paper: Hitchin’s equations on a non-orientable manifold

TitleHitchin’s equations on a non-orientable manifold
Authors
Issue Date2013
Citation
5th International Conference on Geometry and Quantization (GEOQUANT 2013), Vienna, Austria, 19-30 August 2013  How to Cite?
AbstractWe study Hitchin’s equations and Higgs bundles over a non-orientable manifold whose oriented cover is compact K¨ahler. Using the involution induced by the deck transformation, we show that the moduli space of Higgs bundles is Langrangian/complex with respect to the hyper-K¨ahler structure on Hitchin’s moduli space associated to the oriented cover. We then establish a Donaldson-Corlette type correspondence and relate Hitchin’s moduli space to representation varieties. This is a joint work with N.-K. Ho and G. Wilkin.
Persistent Identifierhttp://hdl.handle.net/10722/239124

 

DC FieldValueLanguage
dc.contributor.authorWu, S-
dc.date.accessioned2017-03-08T01:07:34Z-
dc.date.available2017-03-08T01:07:34Z-
dc.date.issued2013-
dc.identifier.citation5th International Conference on Geometry and Quantization (GEOQUANT 2013), Vienna, Austria, 19-30 August 2013 -
dc.identifier.urihttp://hdl.handle.net/10722/239124-
dc.description.abstractWe study Hitchin’s equations and Higgs bundles over a non-orientable manifold whose oriented cover is compact K¨ahler. Using the involution induced by the deck transformation, we show that the moduli space of Higgs bundles is Langrangian/complex with respect to the hyper-K¨ahler structure on Hitchin’s moduli space associated to the oriented cover. We then establish a Donaldson-Corlette type correspondence and relate Hitchin’s moduli space to representation varieties. This is a joint work with N.-K. Ho and G. Wilkin.-
dc.languageeng-
dc.relation.ispartofInternational Conference on Geometry and Quantization (GEOQUANT)-
dc.titleHitchin’s equations on a non-orientable manifold-
dc.typeConference_Paper-
dc.identifier.emailWu, S: siyewu@hkucc.hku.hk-
dc.identifier.authorityWu, S=rp00814-
dc.identifier.hkuros225891-

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