• The Atiyah Bundle and Connections on a Principal Bundle

• # Fulltext

https://www.ias.ac.in/article/fulltext/pmsc/120/03/0299-0316

• # Keywords

Principal bundle; connection; Atiyah bundle.

• # Abstract

Let 𝑀 be a $C^\infty$ manifold and 𝐺 a Lie a group. Let $E_G$ be a $C^\infty$ principal 𝐺-bundle over 𝑀. There is a fiber bundle $\mathcal{C}(E_G)$ over 𝑀 whose smooth sections correspond to the connections on $E_G$. The pull back of $E_G$ to $\mathcal{C}(E_G)$ has a tautological connection. We investigate the curvature of this tautological connection.

• # Author Affiliations

1. School of Mathematics, Tata Institute of Fundamental Research, Homi Bhabha Road, Mumbai 400 005, India

• # Proceedings – Mathematical Sciences

Volume 131, 2021
All articles
Continuous Article Publishing mode

• # Editorial Note on Continuous Article Publication

Posted on July 25, 2019