nLab
Clifford bundle

Idea

A Clifford bundle is a fiber bundle of Clifford algebras.

Examples

Given a spin bundle $P$, then the associated bundle $P \underset{Spin(n)}{\times} Cl_n$ is a Clifford bundle.

Related concepts

• Clifford module bundle

• twisted K-theory

• Karoubi K-theory

• fiber integration in K-theory

References

• H. Blaine Lawson, Marie-Louise Michelsohn, chapter II, section 3 Spin geometry, Princeton University Press (1989)