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Semistable Higgs Bundles Over Compact Gauduchon Manifolds

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Abstract

In this paper, we consider the existence of approximate Hermitian–Einstein structure and the semi-stability on Higgs bundles over compact Gauduchon manifolds. Using the continuity method, we show that they are equivalent.

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Acknowledgements

The authors were supported in part by NSF in China, Nos. 11625106, 11571332, 11526212.

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Authors and Affiliations

  1. School of Mathematical Sciences, University of Science and Technology of China, Hefei, 230026, People’s Republic of China

    Yanci Nie

  2. Key Laboratory of Wu Wen-Tsun Mathematics, Chinese Academy of Sciences, School of Mathematical Sciences, University of Science and Technology of China, Hefei, 230026, People’s Republic of China

    Xi Zhang

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  1. Yanci Nie
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Correspondence to Xi Zhang.

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Nie, Y., Zhang, X. Semistable Higgs Bundles Over Compact Gauduchon Manifolds. J Geom Anal 28, 627–642 (2018). https://doi.org/10.1007/s12220-017-9835-y

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  • DOI: https://doi.org/10.1007/s12220-017-9835-y

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