2013/09/03 by J. P. Pridham, Pridham, J. P.
Mathematics · #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #Algebraic Topology (math.AT) #Algebraic structures and combinatorial models #FOS: Mathematics #Homotopy and Cohomology in Algebraic Topology #K-Theory and Homology (math.KT) #Number Theory (math.NT)
paper · doi:10.48550/arxiv.1309.0637
openalex publication_date 2013/09/03 · openalex created_date 2024/04/11 · openalex updated_date 2026/07/28
We consider the effect of t-structures on the Tannaka duality theory for dg categories developed in our previous paper. We associate non-negative dg coalgebras C to dg functors on the hearts of t-structures, and relate dg C-comodules to the original dg category. We give several applications for pro-algebraic homotopy types associated to various cohomology theories, and for motivic Galois groups.