The Atiyah class of generalized holomorphic vector bundles

被引：0
|
作者：
Lang, Honglei [1 ]
Jia, Xiao [2 ]
Liu, Zhangju [3 ]
机构：
[1] China Agr Univ, Coll Sci, Beijing 100873, Peoples R China
[2] Peking Univ, Sch Math, Beijing 100871, Peoples R China
[3] Henan Univ, Sch Math & Stat Sci, Kaifeng 475004, Peoples R China
来源：
DIFFERENTIAL GEOMETRY AND ITS APPLICATIONS | 2023年 / 90卷
关键词：
Atiyah class; Generalized complex structure;
D O I：
10.1016/j.difgeo.2023.102031
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We introduce the notion of Atiyah class of a generalized holomorphic vector bundle, which captures the obstruction to the existence of generalized holomorphic connections on the bundle. As in the classical holomorphic case, this Atiyah class can be defined in three different ways: using Cech cohomology, using the first-jet short exact sequence, or adopting the Lie pair point of view.& COPY; 2023 Elsevier B.V. All rights reserved.
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页数：25
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