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http://dr.iiserpune.ac.in:8080/xmlui/handle/123456789/8102| Title: | Relative connections on principal bundles and relative equivariant structures |
| Authors: | PODDAR, MAINAK Singh, Anoop Dept. of Mathematics |
| Keywords: | Relative holomorphic connection Principal bundle Equivariant structure Kähler manifold Atiyah-Weil criterion 2023-JUL-WEEK4 TOC-JUL-2023 2023 |
| Issue Date: | Oct-2023 |
| Publisher: | Elsevier B.V. |
| Citation: | Differential Geometry and its Applications, 90, 102041. |
| Abstract: | We investigate relative holomorphic connections on a principal bundle over a family of compact complex manifolds. A sufficient condition is given for the existence of a relative holomorphic connection on a holomorphic principal bundle over a complex analytic family. We also introduce the notion of relative equivariant bundles and establish its relation with relative holomorphic connections on principal bundles. |
| URI: | https://doi.org/10.1016/j.difgeo.2023.102041 http://dr.iiserpune.ac.in:8080/xmlui/handle/123456789/8102 |
| ISSN: | 0926-2245 1872-6984 |
| Appears in Collections: | JOURNAL ARTICLES |
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