Table of Contents

* Etale motivic theory: * Etale sheaves with transfers * The relative Picard group and Suslin's rigidity theorem * Derived tensor products $mathbb{A}^1$-weak equivalence * Etale motivic cohomology and algebraic singular homology
* Nisnevich sheaves with transfers: * Standard triples * Nisnevich sheaves* * Nisnevich sheaves with transfers
* The triangulated category of motives: * The category of motives * The complex $mathbb{Z}(n)$ and $mathbb{P}^n$ Equidimensional cycles
* Higher Chow groups: * Higher Chow groups * Higher Chow groups and equidimensional cycles * Motivic cohomology and higher Chow groups * Geometric motives
* Zariski sheaves with transfers: Covering morphisms of triples * Zariski sheaves with transfers * Contractions * Homotopy invariance of cohomology * Bibliography * Glossary * Index

About the Author

Carlo Mazza, Rutgers University, Piscataway, NJ.

Vladimir Voevodsky, Institute for Advanced Study, Princeton, NJ.

Charles Weibel, Rutgers University, New Brunswick, NJ.