nLab Morava E-theoretic Chern character

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Contents

Idea

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.

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)

Last revised on September 6, 2016 at 15:23:47. See the history of this page for a list of all contributions to it.