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Type: Journal article
Title: Cyclic Higgs bundles and the affine Toda equations
Author: Baraglia, D.
Citation: Geometriae Dedicata, 2015; 174(1):25-42
Publisher: Springer
Issue Date: 2015
ISSN: 0046-5755
Statement of
David Baraglia
Abstract: We introduce a class of Higgs bundles called cyclic which lie in the Hitchin component of representations of a compact Riemann surface into the split real form of a simple Lie group. We then prove that such Higgs bundles correspond to a class of solutions to the affine Toda equations. This relationship is further explained in terms of lifts of harmonic maps.
Keywords: Higgs bundles; Toda; cyclic; hHarmonic maps
Rights: © Springer Science+Business Media Dordrecht 2014
DOI: 10.1007/s10711-014-0003-2
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Mathematical Sciences publications

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