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Nonabelianization of Higgs bundles

Abstract:
We consider the integrable system on the moduli space of Higgs bundles restricted to the subvariety corresponding to representations of a surface group into certain noncompact real forms, and in doing so encounter as the fiber moduli spaces of rank 2 bundles on a spectral curve. This contrasts with the general case where the fiber is an abelian variety.
Publication status:
Published
Peer review status:
Peer reviewed

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Files:
Publisher copy:
10.4310/jdg/1404912103

Authors

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Institution:
University of Oxford
Division:
MPLS
Department:
Mathematical Institute
Oxford college:
New College
Role:
Author
Publisher:
International Press Publisher's website
Journal:
Journal of Differential Geometry Journal website
Publication date:
2014-07-09
DOI:
EISSN:
1945-743X
ISSN:
0022-040X
Keywords:
Pubs id:
pubs:823138
UUID:
uuid:8c49ca32-a324-4805-b9a7-0511e37caf64
Local pid:
pubs:823138
Source identifiers:
823138
Deposit date:
2018-02-08

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