Mixed Motives

Marc Levine, Northeastern University, Boston, MA

• Part I. MotivesI. The motivic categoryII. Motivic cohomology and higher Chow groupsIII. K-theory and motivesIV. Homology, cohomology, and dualityV. Realization of the motivic categoryVI. Motivic constructions and comparisonsAppendix A. Equi-dimensional cyclesAppendix B. K-theoryPart II. Categorical algebraI. Symmetric monoidal structuresII. DG categories and triangulated categoriesIII. Simplicial and cosimplicial constructionsIV. Canonical models for cohomology

All in all, everyone interested in mixed motives and willing to take a serious look at the topic, should try his/her hand on this impressive work. — Zentralblatt MATH We must go out of our way to ensure that our libraries acquire books like this, and then we should ‘encourage' our best PhD students to read them! ""— Bulletin of the London Mathematical Society