nLab motivic cohomology - contents

motive, motivic cohomology

Ingredients

• cohomology

• stable homotopy theory

Definitions

• pure motive

  • Chow motive

  • numerical motive

    • periods, motivic Galois group, cosmic Galois group

• mixed motive

  • Nori motive

  • Voevodsky motive

    • A1-homotopy theory

• noncommutative motive

  • bivariant algebraic K-theory, KK-theory

Related

• motivic function

• motivic integration

• motivic Donaldson-Thomas invariant

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