Nonabelianization of Higgs bundles

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 222 bundles on a spectral curve. This contrasts wit...

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Bibliographic Details
Main Authors: Hitchin, Nigel J. (Author) , Schaposnik, Laura P. (Author)
Format: Article (Journal)
Language:English
Published: 9 July 2014
In: Journal of differential geometry
Year: 2014, Volume: 97, Issue: 1, Pages: 79-89
ISSN:1945-743X
DOI:10.4310/jdg/1404912103
Online Access:Verlag, lizenzpflichtig, Volltext: https://doi.org/10.4310/jdg/1404912103
Verlag, lizenzpflichtig, Volltext: https://projecteuclid.org/euclid.jdg/1404912103
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Author Notes:Nigel Hitchin & Laura P. Schaposnik
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Summary: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 222 bundles on a spectral curve. This contrasts with the general case where the fiber is an abelian variety.
Item Description:Gesehen am 22.09.2020
Physical Description:Online Resource
ISSN:1945-743X
DOI:10.4310/jdg/1404912103