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math.DGApr 24, 2018
14
citations (OpenAlex)
authors
  • Chuanjing Zhang
  • Pan Zhang
  • Xi Zhang
institutions
  • Anhui University
  • University of Science and Technology of China
arXiv abstractPDF
paper

Higgs bundles over non-compact Gauduchon manifolds

arXiv:1804.08994

Abstract

In this paper, we prove a generalized Donaldson-Uhlenbeck-Yau theorem on Higgs bundles over a class of non-compact Gauduchon manifolds.

arXiv comment25 pages

References in corpus (5)

  • Hitchin-Kobayashi correspondence, quivers, and vortices
  • Kobayashi-Hitchin correspondence for tame harmonic bundles and an application
  • Kobayashi-Hitchin correspondence for tame harmonic bundles II
  • Yang-Mills equation for stable Higgs sheaves
  • Kobayashi-Hitchin correspondence for analytically stable bundles

Cited by in corpus (4)

  • Projectively flat bundles and semi-stable Higgs bundles
  • A Kobayashi-Hitchin correspondence between Dirac-type singular mini-holomorphic bundles and HE-monopoles
  • Analytically stable Higgs bundles on some non-Kähler manifolds
  • Gradient Flows of Higher Order Yang-Mills-Higgs Functionals
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