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Transactions of the American Mathematical Society

Published by the American Mathematical Society since 1900, Transactions of the American Mathematical Society is devoted to longer research articles in all areas of pure and applied mathematics.

ISSN 1088-6850 (online) ISSN 0002-9947 (print)

The 2020 MCQ for Transactions of the American Mathematical Society is 1.48.

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Higgs bundles over non-compact Gauduchon manifolds
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by Chuanjing Zhang, Pan Zhang and Xi Zhang PDF
Trans. Amer. Math. Soc. 374 (2021), 3735-3759 Request permission

Abstract:

In this paper, we prove a generalized Donaldson-Uhlenbeck-Yau theorem on Higgs bundles over a class of non-compact Gauduchon manifolds.
References
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Additional Information
  • Chuanjing Zhang
  • Affiliation: School of Mathematical Sciences, University of Science and Technology of China, Hefei, 230026, People’s Republic of China
  • Email: chjzhang@mail.ustc.edu.cn
  • Pan Zhang
  • Affiliation: School of Mathematical Sciences, Anhui University, Anhui 230601, People’s Republic of China
  • ORCID: 0000-0002-9462-9840
  • Email: panzhang20100@ahu.edu.cn
  • Xi Zhang
  • Affiliation: School of Mathematical Sciences, University of Science and Technology of China, Hefei, 230026, People’s Republic of China
  • Email: mathzx@ustc.edu.cn
  • Received by editor(s): April 30, 2018
  • Received by editor(s) in revised form: July 16, 2018, August 9, 2020, and October 13, 2020
  • Published electronically: January 21, 2021
  • Additional Notes: The first author and the second author are both co-first authors, the third author is the corresponding author. The authors were partially supported by NSF in China No.11625106, 11801535 and 11721101. The first author was also supported by the China Postdoctoral Science Foundation (No.2018M642515) and the Fundamental Research Funds for the Central Universities. The second author was supported by the Natural Science Foundation of Universities of Anhui Province. The research was partially supported by the project “Analysis and Geometry on Bundle” of Ministry of Science and Technology of the People’s Republic of China, No. SQ2020YFA070080.
  • © Copyright 2021 American Mathematical Society
  • Journal: Trans. Amer. Math. Soc. 374 (2021), 3735-3759
  • MSC (2020): Primary 53C07, 14J60, 32Q15
  • DOI: https://doi.org/10.1090/tran/8323
  • MathSciNet review: 4237961