Operations in Étale and Motivic cohomology

Bert Guillou, Chuck Weibel

Research output: Contribution to journalArticlepeer-review


We classify all étale cohomology operations on (Formula Presented), showing that they were all constructed by Epstein. We also construct operations Pa on the mod-ℓ motivic cohomology groups Hp,q, differing from Voevodsky’s operations. We use them to classify all motivic cohomology operations on Hp,1 and H1,q and suggest a general classification.

Original languageEnglish
Pages (from-to)1057-1090
Number of pages34
JournalTransactions of the American Mathematical Society
Issue number2
StatePublished - 2019

Bibliographical note

Publisher Copyright:
© 2019 American Mathematical Society.

ASJC Scopus subject areas

  • General Mathematics
  • Applied Mathematics


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