Algebraic K-theory and sums-of-squares formulas

Details Algebraic K-theory and sums-of-squares formulas Algebraic K-theory and sums-of-squares formulas

2004-07-13

arxiv.org/abs/math/0407226v1

Mathematics

Algebraic Topology

Scientific paper

We prove a result about the non-existence of certain sums-of-squares formulas
over a field. This generalizes an old theorem which used topological K-theory
to obtain obstruction conditions when the field is the real numbers. Our result
applies to arbitrary fields not of characteristic 2, making use of algebraic
K-theory in place of topological K-theory.

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