Algebraic K-theory and sums-of-squares formulas, by Daniel Dugger and Daniel C. Isaksen

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 produce 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.


Daniel Dugger <ddugger@math.uoregon.edu>
Daniel C. Isaksen <isaksen@math.wayne.edu>