Cycles, Transfers And Motivic Homology Theories [Latex preprint ed.]

1. Introduction......Page 1
2. Relative Cycles and Chow Sheaves......Page 9
3. Cohomological Theory of Presheaves with Transfers......Page 95
4. Bivariant Cycle Cohomology......Page 151
1 Introduction......Page 206
2.1 The triangulated category of geometrical motives.......Page 207
2.2 Summary of main results.......Page 212
3.1 Nisnevich sheaves with transfers and the category (DM_)^eff (k)......Page 217
3.2 The embedding theorem.......Page 225
3.3 Etale sheaves with transfers.......Page 234
3.4 Motives of varieties of dimension ≤ 1......Page 236
3.5 Fundamental distinguished triangles in the category of geometrical motives.......Page 239
4.1 Motives of schemes of finite type.......Page 245
4.2 Bivariant cycle cohomology.......Page 250
4.3 Duality in the triangulated categories of motives.......Page 255
References......Page 260
6. Higher Chow Groups and Etale Cohomology......Page 262