Please use this identifier to cite or link to this item:
https://hdl.handle.net/2440/107709
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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 1572-9168 |
Statement of Responsibility: | 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 |
Published version: | http://dx.doi.org/10.1007/s10711-014-0003-2 |
Appears in Collections: | Aurora harvest 8 Mathematical Sciences publications |
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RA_hdl_107709.pdf Restricted Access | Restricted Access | 229.76 kB | Adobe PDF | View/Open |
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