Etale homotopy and sums-of-squares formulas

Details Etale homotopy and sums-of-squares formulas Etale homotopy and sums-of-squares formulas

2006-09-11

arxiv.org/abs/math/0609301v1

Mathematics

Algebraic Topology

Scientific paper

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.

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