Abstract
LetM be an open Riemann surface with a finite set of punctures, a complete Poincaré-like metric is introduced near the punctures and the equivalence between the stability of an indecomposable parabolic Higgs bundle, and the existence of a Hermitian-Einstein metric on the bundle is established.
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Project surpported partially by the National Natural Science Foundation of China (Grant No. 19701034).
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Jiayu, L., Youde, W. Parabolic stable Higgs bundles over complete noncompact Riemann surfaces. Sci. China Ser. A-Math. 42, 255–263 (1999). https://doi.org/10.1007/BF02879059
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DOI: https://doi.org/10.1007/BF02879059