geometry Geometry (; ) is, with arithmetic, one of the oldest branches of mathematics. It is concerned with properties of space such as the distance, shape, size, and relative position of figures. A mathematician who works in the field of geometry is ...

and

topology In mathematics, topology (from the Greek words , and ) is concerned with the properties of a geometric object that are preserved under continuous deformations, such as stretching, twisting, crumpling, and bending; that is, without closing ...

, given a

group A group is a number of persons or things that are located, gathered, or classed together. Groups of people * Cultural group, a group whose members share the same cultural identity * Ethnic group, a group whose members share the same ethnic ide ...

''G'', an equivariant bundle is a fiber bundle such that the total space and the base spaces are both ''G''-spaces and the projection map

\pi

between them is equivariant:

\pi \circ g = g \circ \pi

with some extra requirement depending on a typical fiber. For example, an equivariant vector bundle is an equivariant bundle.

References

*Berline, Nicole; Getzler, E.; Vergne, Michèle (2004), Heat Kernels and Dirac Operators, Berlin, New York: Springer-Verlag Fiber bundles {{differential-geometry-stub