Good Wild Harmonic Bundles and Good Filtered Higgs Bundles

被引：4
|
作者：
Mochizuki, Takuro [1 ]
机构：
[1] Kyoto Univ, Math Sci Res Inst, Kyoto 6068502, Japan
来源：
SYMMETRY INTEGRABILITY AND GEOMETRY-METHODS AND APPLICATIONS | 2021年 / 17卷
基金：
日本学术振兴会;
关键词：
KOBAYASHI-HITCHIN CORRESPONDENCE; HERMITIAN-EINSTEIN METRICS; YANG-MILLS CONNECTIONS; STABLE VECTOR-BUNDLES; ALGEBRAIC-SURFACES; CHERN CLASSES; REPRESENTATIONS; MAPS; RESTRICTION; STABILITY;
D O I：
10.3842/SIGMA.2021.068
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We prove the Kobayashi-Hitchin correspondence between good wild harmonic bundles and polystable good filtered lambda -flat bundles satisfying a vanishing condition. We also study the correspondence for good wild harmonic bundles with the homogeneity with respect to a group action, which is expected to provide another way to construct Frobenius manifolds.
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页数：66
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