nLab
Pontrjagin character

Contents

Context

Cohomology

cohomology

Special and general types

Special notions

Variants

Extra structure

Operations

Theorems

Rational homotopy theory

Contents

Idea

The Pontrjagin character is the analog for KO--theory of what the Chern character is for KU--theory. Like the latter may be expressed as a series of Chern classes, so the Pontrjagin character is expressed as a series of Pontrjagin classes.

Equivalently, the Pontrjagin character is the Chern-Dold character on KO.

References

See also:

Last revised on February 21, 2021 at 06:13:06. See the history of this page for a list of all contributions to it.