An isomorphism of motivic Galois groups

Abstract

In characteristic 0 there are essentially two approaches to the conjectural theory of mixed motives, one due to Nori and the other one due to, independently, Hanamura, Levine, and Voevodsky. Although these approaches are apriori quite different it is expected that ultimately they can be reduced to one another. In this article we provide some evidence for this belief by proving that their associated motivic Galois groups are canonically isomorphic.

56 pages, published version

References in corpus (3)

• On the relation between Nori Motives and Kontsevich Periods
• Comparison of the Categories of Motives defined by Voevodsky and Nori
• A Construction of a Differential Graded Lie Algebra in the Category of Effective Homological Motives

Cited by in corpus (5)

• On the Nori and Hodge realisations of Voevodsky motives
• Tensor structure on perverse Nori motives
• Homotopy theory of dg sheaves
• A note on Tannakian categories and mixed motives
• Mixed Motives