English

Extended powers and Steenrod operations in algebraic geometry

Algebraic Geometry 2007-08-06 v2 Algebraic Topology

Abstract

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.

Cite

@article{arxiv.0708.0571,
  title  = {Extended powers and Steenrod operations in algebraic geometry},
  author = {Terrence P. Bisson and Aristide Tsemo},
  journal= {arXiv preprint arXiv:0708.0571},
  year   = {2007}
}

Comments

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

R2 v1 2026-06-21T09:04:45.165Z