nLab
Morava E-theoretic Chern character

Context

Cohomology

cohomology

Special and general types

Special notions

Variants

Extra structure

Operations

Theorems

Differential cohomology

Contents

Idea

A higher chromatic Chern character for Morava E-theory.

The construction in (Torii 03) produces a map from Morava E-theory at chromatic level (n+1)(n+1) to Morava K-theory of chromatic level nn, tensored over something. This is induced by degeneration of the corresponding formal group laws.

References

  • Matthew Ando, Jack Morava, Hal Sadofsky, Completions of Z/(p)-Tate cohomology of periodic spectra, Geom. Topol. 2 (1998), 145-174 (arXiv:math/9808141)

  • Takeshi Torii, On degeneration of one-dimensional formal group laws and applications to stable homotopy theory, Amer. J. Math. 125 (2003) 1037–1077 (web)

Last revised on September 6, 2016 at 11:23:47. See the history of this page for a list of all contributions to it.