Extended powers and Steenrod operations in algebraic geometry

Details Extended powers and Steenrod operations in algebraic geometry Extended powers and Steenrod operations in algebraic geometry

2007-08-03

arxiv.org/abs/0708.0571v2

Mathematics

Algebraic Geometry

12 pages, plain tex, uses Paul Taylor's diagrams

Scientific paper

Steenrod operations have been defined by Voedvodsky in motivic cohomology in order to show 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.

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