Reduced power operations in motivic cohomology

@article{Voevodsky2001ReducedPO,
  title={Reduced power operations in motivic cohomology},
  author={Vladimir Voevodsky},
  journal={Publications Math{\'e}matiques de l'Institut des Hautes {\'E}tudes Scientifiques},
  year={2001},
  volume={98},
  pages={1-57}
}
  • V. Voevodsky
  • Published 2001
  • Mathematics
  • Publications Mathématiques de l'Institut des Hautes Études Scientifiques
In this paper we construct an analog of Steenrod operations in motivic cohomology and prove their basic properties including the Cartan formula, the Adem relations and the realtions to characteristic classes. 
Steenrod operations in motivic cohomology
These notes outline the construction of the Steenrod reduced powers for mod-l motivic cohomology defined over a field of characteristic zero, following the original construction proposed by Voevodsky.
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