• The Atiyah Bundle and Connections on a Principal Bundle

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      Permanent link:
      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

       

      Indranil Biswas1

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

       
  • Proceedings – Mathematical Sciences | News

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