The Atiyah bundle and connections on a principal bundle

作者：Biswas Indranil^*

来源：Proceedings of the Indian Academy of Sciences - Mathematical Sciences, 2010, 120(3): 299-316.

DOI：10.1007/s12044-010-0029-9

• Principal bundle
• connection
• Atiyah bundle

Let M be a C(infinity) manifold and G a Lie a group. Let E(G) be a C(infinity) principal G-bundle over M. There is a fiber bundle C(E(G)) over M whose smooth sections correspond to the connections on E(G). The pull back of E(G) to C(E(G)) has a tautological connection. We investigate the curvature of this tautological connection.

• 出版日期2010-6