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Conference Paper: Hitchin’s equations on a non-orientable manifold
Title | Hitchin’s equations on a non-orientable manifold |
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Authors | |
Issue Date | 2014 |
Publisher | Penn State University and Tsinghua University. |
Citation | 12th GAP (Geometry and Physics - Séminaire itinérant): Geometric Mechanics (GAP XII), Sanya, China, 10-14 March 2014 How to Cite? |
Abstract | We study Hitchin's equations and Higgs bundles over a non-orientable manifold whose oriented cover is compact Kähler. Using the involution induced by the deck transformation, we show that Hitchin's moduli space is Langrangian/complex with respect to the hyper-Kähler 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 Identifier | http://hdl.handle.net/10722/226799 |
DC Field | Value | Language |
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dc.contributor.author | Wu, S | - |
dc.date.accessioned | 2016-07-04T05:35:28Z | - |
dc.date.available | 2016-07-04T05:35:28Z | - |
dc.date.issued | 2014 | - |
dc.identifier.citation | 12th GAP (Geometry and Physics - Séminaire itinérant): Geometric Mechanics (GAP XII), Sanya, China, 10-14 March 2014 | - |
dc.identifier.uri | http://hdl.handle.net/10722/226799 | - |
dc.description.abstract | We study Hitchin's equations and Higgs bundles over a non-orientable manifold whose oriented cover is compact Kähler. Using the involution induced by the deck transformation, we show that Hitchin's moduli space is Langrangian/complex with respect to the hyper-Kähler 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.language | eng | - |
dc.publisher | Penn State University and Tsinghua University. | - |
dc.relation.ispartof | GAP (Geometry and Physics - Séminaire itinérant) | - |
dc.title | Hitchin’s equations on a non-orientable manifold | - |
dc.type | Conference_Paper | - |
dc.identifier.email | Wu, S: siyewu@hkucc.hku.hk | - |
dc.identifier.authority | Wu, S=rp00814 | - |
dc.identifier.hkuros | 237205 | - |
dc.publisher.place | China | - |