MOTIVIC COHOMOLOGY

By JOSHUA HERNANDEZ

CONTENTS 1 THE CATEGORY OF NITE CORRESPONDENCES 2 PRESHEAVES WITH TRANSFERS 3 MOTIVIC COHOMOLOGY 4 WEIGHT ONE MOTIVIC COHOMOLOGY 5 RELATION TO MILNOR K-THEORY 6 ÉTALE SHEAVES WITH TRANSFERS 7 RELATIVE PICARD GROUP AND SUSLIN'S RIGIDITY THEOREM 8 DERIVED TENSOR PRODUCTS 9 A1-WEAK EQUIVALENCE 10 ÉTALE MOTIVIC COHOMOLOGY AND ALGEBRAIC SINGULAR HOMOLOGY 11 STANDARD TRIPLES 12 NISNEVICH SHEAVES 13 NISNEVICH SHEAVES WITH TRANSFERS 14 THE CATEGORY OF MOTIVES 15 THE COMPLEX Z(N) AND PN 16 EQUIDIMENSIONAL CYCLES 17 HIGHER CHOW GROUPS 18 HIGHER CHOW GROUPS AND EQUIDIMENSIONAL CYCLES 19 MOTIVIC COHOMOLOGY AND HIGHER CHOW GROUPS 20 COVERING MORPHISMS OF TRIPLES 21 ZARISKI SHEAVES WITH TRANSFERS 22 CONTRACTIONS 23 HOMOTOPY INVARIANCE OF COHOMOLOGY