An exact sequence for $K_\ast^M/2$ with applications to quadratic forms

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Dmitri Orlov

Steklov Mathematical Institute, 8 Gubkina St., Moscow, 119991, Russia

Alexander Vishik

Institute for Information Transmission Problems, Russian Academy of Sciences, Moscow, 127994, Russia

Vladimir Voevodsky

School of Mathematics, Institute for Advanced Studies, Einstein Drive, Princeton, NJ 08540, United States