nLab
twisted Chern character

Contents

Context

Cohomology

cohomology

Special and general types

Special notions

Variants

Extra structure

Operations

Theorems

Differential cohomology

Contents

Idea

The ordinary Chern character for K-theory sends K-classes to ordinary cohomology with real coefficients. Over a smooth manifold the de Rham theorem makes this equivalently take values in de Rham cohomology.

The twisted Chern character analogously goes from twisted K-theory to twisted de Rham cohomology.

References

In twisted orbifold K-theory:

Last revised on September 5, 2020 at 10:32:44. See the history of this page for a list of all contributions to it.