### Publication Type:

Journal Article### Source:

Publ. Math. Inst. Hautes Études Sci., p.59–104 (2003)### URL:

http://dx.doi.org/10.1007/s10240-003-0010-6### Notes:

<p>There were several papers that preceded this paper that explored other proofs of the Milnor Conjecture based on the same general direction of approach. Ultimately it was the present paper that was published in a journal since the proof that it contained was most direct and required the least amount of preliminary work. The earlier versions of the proof are available here:</p>

<ul>

<li><a href="http://www.math.uiuc.edu/K-theory/0076/">Bloch-Kato conjecture for Z/2-coefficients and algebraic Morava K-theories</a> (June 1995). </li>

<li><a href="http://www.math.uiuc.edu/K-theory/0170/">The Milnor Conjecture</a> (December 1996)</li>

<li><a href="http://www.math.uiuc.edu/K-theory/0502/">On 2-torsion in motivic cohomology</a> (July 2001)</li>

<li><a href="/vladimir/sites/math.ias.edu.vladimir/files/motivic_cohomology_with_Z2_coefficients_published.pdf">Motivic cohomology with Z/2-coefficients</a> (published version, 2003).</li>

</ul>

<p> </p>