Geodesic
Stable Higgs Bundles with Trivial Chern Classes. Several Examples
Trudy Matematicheskogo Instituta imeni V.A. Steklova, 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{TM_2009_264_a14,
     author = {Y. Miyaoka},
     title = {Stable {Higgs} {Bundles} with {Trivial} {Chern} {Classes.} {Several} {Examples}},
     journal = {Trudy Matematicheskogo Instituta imeni V.A. Steklova},
     pages = {129--136},
     publisher = {mathdoc},
     volume = {264},
     year = {2009},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/TM_2009_264_a14/}
}
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Y. Miyaoka. Stable Higgs Bundles with Trivial Chern Classes. Several Examples. Trudy Matematicheskogo Instituta imeni V.A. Steklova, Multidimensional algebraic geometry, Tome 264 (2009), pp. 129-136. http://geodesic.mathdoc.fr/item/TM_2009_264_a14/