Geodesic
A canonical lift of Frobenius in Morava $E$-theory
Homology, homotopy, and applications, Tome 21 (2019) no. 1, pp. 341-350.

Voir la notice de l'article provenant de la source International Press of Boston

We prove that the $p$th Hecke operator on the Morava $E$-cohomology of a space is congruent to the Frobenius $\mathrm{mod} \: p$. This is a generalization of the fact that the $p$th Adams operation on the complex $K$-theory of a space is congruent to the Frobenius $\mathrm{mod} \: p$. The proof implies that the $p$th Hecke operator may be used to test Rezk’s congruence criterion.
DOI : 10.4310/HHA.2019.v21.n1.a16
Classification : 55N20
Keywords: Morava $E$-theory, Frobenius, Hecke operator 
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     title = {A canonical lift of {Frobenius} in {Morava} $E$-theory},
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     pages = {341--350},
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Nathaniel Stapleton. A canonical lift of Frobenius in Morava $E$-theory. Homology, homotopy, and applications, Tome 21 (2019) no. 1, pp. 341-350. doi : 10.4310/HHA.2019.v21.n1.a16. http://geodesic.mathdoc.fr/articles/10.4310/HHA.2019.v21.n1.a16/

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