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  A canonical lift of Frobenius in Morava E-theory

Stapleton, N. (2019). A canonical lift of Frobenius in Morava E-theory. Homology, Homotopy and Applications, 21(1), 341-350. doi:10.4310/HHA.2019.v21.n1.a16.

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Item Permalink: https://hdl.handle.net/21.11116/0000-0003-D42C-D Version Permalink: https://hdl.handle.net/21.11116/0000-000D-CADC-8
Genre: Journal Article
Latex : A canonical lift of Frobenius in Morava $E$-theory

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arXiv:1603.04811.pdf (Preprint), 139KB
 
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http://dx.doi.org/10.4310/HHA.2019.v21.n1.a16 (Publisher version)
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 Creators:
Stapleton, Nathaniel1, Author           
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1Max Planck Institute for Mathematics, Max Planck Society, ou_3029201              

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Free keywords: Mathematics, Algebraic Topology
 Abstract: We prove that the $p$th Hecke operator on the Morava $E$-cohomology of a space is congruent to the Frobenius 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 mod $p$. The proof implies that the $p$th Hecke operator may be used to test Rezk's congruence criterion.

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Language(s): eng - English
 Dates: 2019
 Publication Status: Issued
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 Rev. Type: Peer
 Identifiers: arXiv: 1603.04811
DOI: 10.4310/HHA.2019.v21.n1.a16
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Title: Homology, Homotopy and Applications
Source Genre: Journal
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Publ. Info: International Press
Pages: - Volume / Issue: 21 (1) Sequence Number: - Start / End Page: 341 - 350 Identifier: -