nLab Milnor's conjecture

See the 1996 preprint by Vladimir Voevodsky and the wikipedia article.

• Fabien Morel, Voevodsky’s proof of Milnor’s conjecture, Bull. Amer. Math. Soc. 35 (1998), 123-143 (web)

A self-contained proof of Milnor’s conjecture, and more generally the norm residue isomorphism theorem is given by

• Christian Haesemeyer? and Charles Weibel, The Norm Residue Theorem in Motivic Cohomology (pdf)