Algebraic K-theory and sums-of-squares formulas

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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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Algebraic Topology, Rings and Algebras

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http://salesiana.dossiersoluciones.com/handle/123456789/71874

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0407226
 http://arxiv.org/abs/math/0407226

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arXiv