Steenrod Operations in Chow Theory, by Patrick Brosnan

An action of the Steenrod Algebra is constructed on the mod p Chow theory of varieties over a field of characteristic different from p. This action should agree with the action of the Steenrod algebra on motivic cohomology used by Voevodsky to prove the Milnor conjecture \cite{milnor}. The construction, however, uses only basic functorial properties of Edidin-Graham equivariant intersection theory \cite{eg} and the Fulton-MacPherson refined Gysin homomorphism \cite{fulton}. In particular, it does not use resolution of singularities.


Patrick Brosnan <pbrosnan@mpim-bonn.mpg.de>