| Hermitian Yang–Mills Metrics on Higgs Bundles over Asymptotically Cylindrical Kahler Manifolds |
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| 引用本文： | Pan ZHANG. Hermitian Yang–Mills Metrics on Higgs Bundles over Asymptotically Cylindrical Kahler Manifolds[J]. 数学学报(英文版), 2019, 35(7): 1128-1142. DOI: 10.1007/s10114-019-8220-0 |
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| 作者姓名： | Pan ZHANG |
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| 作者单位： | School of Mathematics |
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| 基金项目： | The author was partially supported by NSF in China (Grant Nos. 11625106, 11571332 and 11721101) |
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| 摘 要： | Let V be an asymptotically cylindrical Kahler manifold with asymptotic cross-section ■. Let (E■,Φ■)be a st able Higgs bundle over ■, and (E,Φ) a Higgs bundle over V which is asymptotic to (E■,Φ■). In this paper, using the continuity method of Uhlenbeck and Yau, we prove that there exists an asymptotically translation-invariant projectively Hermitian Yang-Mills metric on (E,Φ).
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| 关 键 词： | Higgs bundles asymptotically cylindrical Kahler manifolds Hermitian Yang-Mills metrics |
Hermitian Yang-Mills Metrics on Higgs Bundles over Asymptotically Cylindrical Kähler Manifolds |
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| Pan Zhang. Hermitian Yang-Mills Metrics on Higgs Bundles over Asymptotically Cylindrical Kähler Manifolds[J]. Acta Mathematica Sinica(English Series), 2019, 35(7): 1128-1142. DOI: 10.1007/s10114-019-8220-0 |
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| Authors: | Pan Zhang |
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| Affiliation: | School of Mathematics, Sun Yat-sen University, Guangzhou 510275, P. R. China |
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| Abstract: | Let V be an asymptotically cylindrical Kahler manifold with asymptotic cross-section |
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| Keywords: | Higgs bundles asymptotically cylindrical Kähler manifolds Hermitian Yang-Mills metrics |
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