principal connection

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

The most well known examples are affine connections.

Given a $G$-representation $V$ and a $G$-principal connection, it induces a connection on the corresponding $V$-associated bundle.

higher Atiyah groupoid: | standard higher Atiyah groupoid | higher Courant groupoid | groupoid version of quantomorphism n-group |
---|---|---|---|

coefficient for cohomology: | $\mathbf{B}\mathbb{G}$ | $\mathbf{B}(\mathbf{B}\mathbb{G}_{\mathrm{conn}})$ | $\mathbf{B} \mathbb{G}_{conn}$ |

type of fiber ∞-bundle: | principal ∞-bundle | principal ∞-connection without top-degree connection form | principal ∞-connection |

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