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Notes on the Milnor conjectures
Daniel Dugger
These are some notes on the two Milnor conjectures and their proofs (due to Voevodsky, Orlov-Vishik-Voevodsky, and Morel).
math.AT2004
Algebraic K-theory and sums-of-squares formulas
Daniel Dugger, 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 obtain obstruction co…