Existence of approximate Hermitian-Einstein structures on semi-stable Higgs bundles
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作者:
Li, Jiayu
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Univ Sci & Technol China, Sch Math Sci, Hefei 230026, Peoples R China
Chinese Acad Sci, AMSS, Beijing 100080, Peoples R ChinaUniv Sci & Technol China, Sch Math Sci, Hefei 230026, Peoples R China
Li, Jiayu
[1
,2
]
Zhang, Xi
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Univ Sci & Technol China, Sch Math Sci, Hefei 230026, Peoples R ChinaUniv Sci & Technol China, Sch Math Sci, Hefei 230026, Peoples R China
Zhang, Xi
[1
]
机构:
[1] Univ Sci & Technol China, Sch Math Sci, Hefei 230026, Peoples R China
[2] Chinese Acad Sci, AMSS, Beijing 100080, Peoples R China
In this paper, using Donaldson's heat flow, we show that the semi-stability of a Higgs bundle over a compact Kahler manifold implies the existence of approximate Hermitian-Einstein structure.
机构:
Scuola Int Super Studi Avanzati, I-34136 Trieste, Italy
Ist Nazl Fis Nucl, Sez Trieste, Trieste, ItalyScuola Int Super Studi Avanzati, I-34136 Trieste, Italy
Bruzzo, Ugo
Grana Otero, Beatriz
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Pontificia Univ Javeriana, Dept Matemat, Bogota, ColombiaScuola Int Super Studi Avanzati, I-34136 Trieste, Italy
机构:
Centre de Recherches Mathématiques, UMI 3457, Université de Montréal, 2920 Chemin de la tour, MontrealCentre de Recherches Mathématiques, UMI 3457, Université de Montréal, 2920 Chemin de la tour, Montreal
机构:
Univ Sci & Technol China, Sch Math Sci, Hefei 230026, Peoples R China
Chinese Acad Sci, AMSS, Beijing 100080, Peoples R ChinaUniv Sci & Technol China, Sch Math Sci, Hefei 230026, Peoples R China
Li, Jiayu
Zhang, Chuanjing
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Univ Sci & Technol China, Sch Math Sci, Hefei 230026, Peoples R ChinaUniv Sci & Technol China, Sch Math Sci, Hefei 230026, Peoples R China
Zhang, Chuanjing
Zhang, Xi
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Univ Sci & Technol China, Sch Math Sci, Hefei 230026, Peoples R ChinaUniv Sci & Technol China, Sch Math Sci, Hefei 230026, Peoples R China