On connections on principal bundles
Differential Geometry
2016-08-09 v1
Abstract
A new construction of a universal connection was given in \cite{BHS}. The main aim here is to explain this construction. A theorem of Atiyah and Weil says that a holomorphic vector bundle over a compact Riemann surface admits a holomorphic connection if and only if the degree of every direct summand of is degree. In \cite{AB}, this criterion was generalized to principal bundles on compact Riemann surfaces. This criterion for principal bundles is also explained.
Cite
@article{arxiv.1608.02400,
title = {On connections on principal bundles},
author = {Indranil Biswas},
journal= {arXiv preprint arXiv:1608.02400},
year = {2016}
}
Comments
Final version