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math.DG2019★ 2 cited
Projectively flat bundles and semi-stable Higgs bundles
Changpeng Pan, Chuanjing Zhang, Xi Zhang
The Corlette-Donaldson-Hitchin-Simpson's correspondence states that, on a compact Kähler manifold , there is a one-to-one correspondence between the moduli space of semisim…
math.DG2019
Flat Higgs bundles over non-compact affine Gauduchon manifolds
Zhenghan Shen, Chuanjing Zhang, Xi Zhang
In this paper, we use the affine Hermitian-Yang-Mills flow to prove a generalized Donaldson-Uhlenbeck-Yau theorem on flat Higgs bundles over a class of non-compact affine Gauduchon…
math.DG2019
Analytically stable Higgs bundles on some non-Kähler manifolds
Chuanjing Zhang, Xi Zhang
In this paper, we study Higgs bundles on non-compact Hermitian manifolds. Under some assumptions for the underlying Hermitian manifolds which are not necessarily Kähler, we solve t…