广义全纯向量丛的Atiyah类

IF 0.6 4区数学 Q3 MATHEMATICS

Differential Geometry and its Applications Pub Date : 2023-10-01 DOI:10.1016/j.difgeo.2023.102031

Honglei Lang , Xiao Jia , Zhangju Liu

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引用次数: 0

摘要

我们引入了广义全纯向量束的Atiyah类的概念，它抓住了束上存在广义全纯连接的障碍。在经典全纯情况下，这个Atiyah类可以用三种不同的方式来定义:使用Čech上同调，使用第一喷短精确序列，或者采用李对的观点。

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The Atiyah class of generalized holomorphic vector bundles

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 Čech cohomology, using the first-jet short exact sequence, or adopting the Lie pair point of view.

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来源期刊

Differential Geometry and its Applications 数学-数学

CiteScore

1.00

自引率

20.00%

发文量

审稿时长

6-12 weeks

期刊介绍： Differential Geometry and its Applications publishes original research papers and survey papers in differential geometry and in all interdisciplinary areas in mathematics which use differential geometric methods and investigate geometrical structures. The following main areas are covered: differential equations on manifolds, global analysis, Lie groups, local and global differential geometry, the calculus of variations on manifolds, topology of manifolds, and mathematical physics.