The Atiyah class of generalized holomorphic vector bundles |
| |
| Institution: | 1. College of Science, China Agricultural University, Beijing, 100873, China;2. School of Mathematics, Peking University, Beijing, 100871, China;3. School of Mathematical and Statistical Sciences, Henan University, Kaifeng, 475004, China |
| |
| Abstract: | 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. |
| |
| Keywords: | Atiyah class Generalized complex structure |
| 本文献已被 ScienceDirect 等数据库收录！ |
|
