On the relative connections |
| |
Authors: | Indranil Biswas |
| |
Affiliation: | School of Mathematics, Tata Institute of Fundamental Research, Mumbai, India |
| |
Abstract: | AbstractWe investigate relative connections on a sheaf of modules. A sufficient condition is given for the existence of a relative holomorphic connection on a holomorphic vector bundle over a complex analytic family. We show that the relative Chern classes of a holomorphic vector bundle admitting relative holomorphic connection vanish, if each of the fiber of the complex analytic family is compact and Kähler. |
| |
Keywords: | Atiyah-Weil criterion Kähler manifold relative Atiyah exact sequence relative connection |
|
|