The motivic fundamental group of the punctured projective line

2009/03/10 by Bertrand Guillou, Bertrand J. Guillou, Guillou, Bertrand J.
Mathematics · #14C25 #19E15 #Advanced Algebra and Geometry #Advanced Topics in Algebra #Algebraic Geometry (math.AG) #Algebraic structures and combinatorial models #FOS: Mathematics #K-Theory and Homology (math.KT) #math.AG #math.KT #msc:14C25 #msc:19E15

paper · pdf · doi:10.48550/arxiv.0903.1705

37 pages

arxiv created 2009/03/10 · openalex publication_date 2009/03/10 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We describe a construction of an object associated to the fundamental group of the projective line minus three points in the Bloch-Kriz category of mixed Tate motives. This description involves Massey products of Steinberg symbols in the motivic cohomology of the ground field.

Related

• Groupes fondamentaux motiviques de Tate mixte
• Mixed Tate motives over \Z
• Tate motives and the fundamental group
• A relative basis for mixed Tate motives over the projective line minus three points
• Extensions of Motives and the Fundamental Group