Etale homotopy and sums-of-squares formulas
Algebraic Topology
2007-05-23 v1
Abstract
This paper uses a relative of BP-cohomology to prove a theorem in characteristic p algebra. Specifically, we obtain some new necessary conditions for the existence of sums-of-squares formulas over fields of characteristic p > 2. These conditions were previously known in characteristic zero by results of Davis. Our proof uses a generalized etale cohomology theory called etale BP2.
Keywords
Cite
@article{arxiv.math/0609301,
title = {Etale homotopy and sums-of-squares formulas},
author = {Daniel Dugger and Daniel C. Isaksen},
journal= {arXiv preprint arXiv:math/0609301},
year = {2007}
}