Author: Dmitry Orlov
Author2: Alexander Vishik
Author3: Vladimir Voevodsky
Title: An exact sequence for Milnor's K-theory with applications to
quadratic forms
Email3: vladimir@ias.edu

We construct a four-term exact sequence which provides information on
the kernel and cokernel of the multiplication by a pure symbol in
Milnor's K-theory mod 2 of fields of characteristic zero. As an
application we establish, for fields of characteristics zero, the
validity of three conjectures in the theory of quadratic forms - the
Milnor conjecture on the structure of the Witt ring, the
Khan-Rost-Sujatha conjecture and the J-filtration conjecture. 

The first version of this paper was written in the spring of 1996.