Hermitian-Einstein connections on polystable orthogonal and symplectic parabolic Higgs bundles

被引:1
|
作者
Biswas, Indranil [1 ]
Stemmler, Matthias [1 ]
机构
[1] Tata Inst Fundamental Res, Sch Math, Bombay 400005, Maharashtra, India
关键词
Hermitian-Einstein connection; Orthogonal and symplectic bundles; Parabolic Higgs bundle; SHEAVES; MODULI;
D O I
10.1016/j.geomphys.2012.01.013
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
Let X be a smooth complex projective curve and S subset of X a finite subset. We show that an orthogonal or symplectic parabolic Higgs bundle on X with parabolic structure over S admits a Hermitian-Einstein connection if and only if it is polystable. (C) 2012 Elsevier B.V. All rights reserved.
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页码:1358 / 1365
页数:8
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