nLab
principal connection

Context

\infty-Chern-Weil theory

Differential cohomology

Contents

Idea

The term principal connection is synonymous to connection on a principal bundle .

The most well known examples are affine connections.

Given a GG-representation VV and a GG-principal connection, it induces a connection on the corresponding VV-associated bundle.

higher Atiyah groupoid

higher Atiyah groupoid:standard higher Atiyah groupoidhigher Courant groupoidgroupoid version of quantomorphism n-group
coefficient for cohomology:B𝔾\mathbf{B}\mathbb{G}B(B𝔾 conn)\mathbf{B}(\mathbf{B}\mathbb{G}_{\mathrm{conn}})B𝔾 conn\mathbf{B} \mathbb{G}_{conn}
type of fiber ∞-bundle:principal ∞-bundleprincipal ∞-connection without top-degree connection formprincipal ∞-connection

Revised on September 15, 2013 17:12:37 by Urs Schreiber (89.204.137.43)