nLab principal connection

Idea

The term principal connection is synonymous to connection (see there for more) on a principal bundle.

Related concepts

• connection on a bundle

  • parallel transport, holonomy

• principal connection

  • affine connection, Levi-Civita connection Cartan connection

• connection on a 2-bundle

• connection on an infinity-bundle

  • higher parallel transport

higher Atiyah groupoid

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