The Norm Residue Theorem in Motivic Cohomology

Cover......Page 1
Contents......Page 3
Preface......Page 7
Acknowledgments......Page 10
Dependency graph of the chapters......Page 11
Chapter One : An Overview of the Proof......Page 12
Chapter Two : Relation to Beilinson–Lichtenbaum......Page 31
Chapter Three : Hilbert 90 for KMn......Page 51
Chapter Four : Rost Motives and H90......Page 63
Chapter Five : Existence of Rost Motives......Page 74
Chapter Six : Motives over S......Page 85
Chapter Seven : The Motivic Group HBM......Page 104
Chapter Eight : Degree Formulas......Page 113
Chapter Nine : Rost’s Chain Lemma......Page 127
Chapter Ten : Existence of Norm Varieties......Page 152
Chapter Eleven : Existence of Rost Varieties......Page 166
Chapter Twelve : Model Structures for the A1-homotopy Category......Page 180
Chapter Thirteen : Cohomology Operations......Page 218
Chapter Fourteen : Symmetric Powers of Motives......Page 237
Chapter Fifteen : Motivic Classifying Spaces......Page 258
Glossary......Page 282
Bibliography......Page 288
Index......Page 298