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Mixed Motives

About this Title

Marc Levine, Northeastern University, Boston, MA

Publication: Mathematical Surveys and Monographs
Publication Year: 1998; Volume 57
ISBNs: 978-0-8218-0785-9 (print); 978-0-8218-3398-8 (online)
DOI: https://doi.org/10.1090/surv/057
MathSciNet review: MR1623774
MSC: Primary 14F99; Secondary 14C15, 14C25, 14C35, 18E30, 19E08

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Table of Contents

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Front/Back Matter

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Part I. Motives

• I. The motivic category
• II. Motivic cohomology and higher Chow groups
• III. K-theory and motives
• IV. Homology, cohomology, and duality
• V. Realization of the motivic category
• VI. Motivic constructions and comparisons
• Appendix A. Equi-dimensional cycles
• Appendix B. K-theory

Part II. Categorical algebra

• I. Symmetric monoidal structures
• II. DG categories and triangulated categories
• III. Simplicial and cosimplicial constructions
• IV. Canonical models for cohomology