nLab Morava E-theoretic Chern character

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 $(n+1)$ to Morava K-theory of chromatic level $n$, tensored over something. This is induced by degeneration of the corresponding formal group laws.

Related concepts

• transchromatic character

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)

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

• Takeshi Torii, Equivariance of generalized Chern characters, (arXiv:0904.1647)