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Algebraic K-theory and sums-of-squares formulas | | Daniel Dugger
; Daniel C. Isaksen
; | | Date: |
13 Jul 2004 | | Subject: | Algebraic Topology; Rings and Algebras | math.AT math.RA | | Abstract: | 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. | | Source: | arXiv, math.AT/0407226 | | Services: | Forum | Review | PDF | Favorites | |
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