## Homology, Homotopy and Applications

### Extended powers and Steenrod operations in algebraic geometry

#### Abstract

Steenrod operations were defined by Voedvodsky in motivic cohomology in order to prove the Milnor and Bloch-Kato conjectures. These operations have also been constructed by Brosnan for Chow rings. The purpose of this paper is to provide a setting for the construction of the Steenrod operations in algebraic geometry, for generalized cohomology theories whose formal group law has order two. We adapt the methods used by Bisson-Joyal in studying Steenrod and Dyer-Lashof operations in unoriented cobordism and mod 2 cohomology.

#### Article information

Source
Homology Homotopy Appl., Volume 10, Number 3 (2008), 85-100.

Dates
First available in Project Euclid: 1 September 2009