Kobayashi-Hitchin correspondence for analytically stable bundles.
Kobayashi-Hitchin correspondence for analytically stable bundles.
复制标题
分析稳定束的小林-希钦对应关系。
DOI：
10.1090/tran/7956
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发表时间：
2020
影响因子：
1.3
通讯作者：
Takuro Mochizuki
中科院分区：
文献类型：
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作者：
上石圭一;大塚浩;武蔵勝宏;平山真理［編］;藤田政博;飯田高;菅野昌史;太田勝造;他（計39名）;佐野晋平（川口大司編）;Takuro Mochizuki
在Kähler流形的某些假设下，证明了具有满足解析稳定性条件的Hermite度量的全纯向量丛上存在Hermite-Einstein度量。我们还研究了厄米-爱因斯坦度规的曲率衰变。这对于利用某些类型的闭子群对四维欧氏空间商上的瞬子和单极子进行分类的研究是有用的。我们还解释了与某些代数数据相对应的双周期单极子的例子。参考文献
We prove the existence of an Hermitian–Einstein metric on holomorphic vector bundles with an Hermitian metric satisfying the analytic stability condition, under some assumption for the underlying Kähler manifolds. We also study the curvature decay of the Hermitian–Einstein metrics. It is useful for the study of the classification of instantons and monopoles on the quotients of four-dimensional Euclidean space by some types of closed subgroups. We also explain examples of doubly periodic monopoles corresponding to some algebraic data. References