nLab
higher chromatic Chern character

Contents

Context

Cohomology

cohomology

Special and general types

Special notions

Variants

Extra structure

Operations

Theorems

Differential cohomology

Contents

Idea

The traditional Chern character on complex K-theory happens to be a map from complex oriented cohomology theory of chromatic level 1 to one of chromatic level 0 (ordinary cohomology).

More generally, one may ask for higher chromatic Chern characters that map a generalized cohomology theory of some chromatic level to another of some other level.

This has been considered for

References

A survey is for instance in the introduction of

  • Takeshi Torii, Milnor operations and the generalized Chern character, Geom. Topol. Monogr. 10 (2007) 383-421 (arXiv:0903.4708)

  • Takeshi Torii, HKR characters, p-divisible groups and the generalized Chern character, (pdf)

Last revised on July 20, 2017 at 16:39:59. See the history of this page for a list of all contributions to it.