nLab
equivariant bundle

Idea

For $X$ a space and $G$ a group with an action on $X$, a $G$-equivariant bundle on $X$ is a bundle on the action groupoid $X//G$ of $X$.

Examples

• in arithmetic geometry: shtuka

Related concepts

• equivariant cohomology

• equivariant connection

• equivariant K-theory