An exact sequence for K_∗^M∕2 with applications to quadratic forms

Abstract

Introduction 2. An exact sequence for K M * /2 3. Reduction to points of degree 2 4. Some applications 4.1. Milnor's Conjecture on quadratic forms 4.2. The Kahn-Rost-Sujatha Conjecture 4.3. The J-filtration conjecture