Lecture Notes on Motivic Cohomology (Paperback)

<p<ul> <li><strong>Presheaves with transfers:</strong></li> <li>The category of finite correspondences</li> <li>Presheaves with transfers</li> <li>Motivic cohomology</li> <li>Weight one motivic cohomology</li> <li>Relation to Milnor $K$-theory</li><br /> <li><strong>Etale motivic theory:</strong></li> <li>Etale sheaves with transfers</li> <li>The relative Picard group and Suslin's rigidity theorem</li> <li>Derived tensor products $\mathbb{A}^1$-weak equivalence</li> <li>Etale motivic cohomology and algebraic singular homology</li><br /> <li><strong>Nisnevich sheaves with transfers:</strong></li> <li>Standard triples</li> <li>Nisnevich sheaves<li> <li>Nisnevich sheaves with transfers</li><br /> <li><strong>The triangulated category of motives:</strong></li> <li>The category of motives</li> <li>The complex $\mathbb{Z}(n)$ and $\mathbb{P}^n$ Equidimensional cycles</li><br /> <li><strong>Higher Chow groups:</strong></li> <li>Higher Chow groups</li> <li>Higher Chow groups and equidimensional cycles</li> <li>Motivic cohomology and higher Chow groups</li> <li>Geometric motives</li><br /> <li><strong>Zariski sheaves with transfers: Covering morphisms of triples</strong></li> <li>Zariski sheaves with transfers</li> <li>Contractions</li> <li>Homotopy invariance of cohomology</li> <li>Bibliography</li> <li>Glossary</li> <li>Index </li> </ul></p>