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arXiv · 1309.0637

Tannaka duality for enhanced triangulated categories II: $t$-structures and homotopy types

J. P. Pridham
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Abstract

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.

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BibTeXRIS

J. P. Pridham. 2013-09-03. Tannaka duality for enhanced triangulated categories II: $t$-structures and homotopy types. https://arxiv.org/abs/1309.0637

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