Geodesic
Stable Higgs Bundles with Trivial Chern Classes. Several Examples
Informatics and Automation, Multidimensional algebraic geometry, Tome 264 (2009), pp. 129-136

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We propose a new interpretation of Higgs bundles as vector bundles together with actions of the symmetric tangent tensor algebra. Via this interpretation, we construct new nontrivial examples of stable Higgs bundles with vanishing Chern classes. 
@article{TRSPY_2009_264_a14,
     author = {Y. Miyaoka},
     title = {Stable {Higgs} {Bundles} with {Trivial} {Chern} {Classes.} {Several} {Examples}},
     journal = {Informatics and Automation},
     pages = {129--136},
     publisher = {mathdoc},
     volume = {264},
     year = {2009},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/TRSPY_2009_264_a14/}
}
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Y. Miyaoka. Stable Higgs Bundles with Trivial Chern Classes. Several Examples. Informatics and Automation, Multidimensional algebraic geometry, Tome 264 (2009), pp. 129-136. http://geodesic.mathdoc.fr/item/TRSPY_2009_264_a14/