DG-category and simplicial bar complex

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In this paper, we prove that the DG category of DG complex of DG category of a differential graded algebra A is homotopy equivalent to that of comodules over the simplicial bar complex of A. Under the assuption of connectedness of A, we show the homotopy category of A-connection is equivalent to comodules on the homology of bar complex. As an application, we construct coalgebras classifying nilpotent variation of mixed Tate Hodge structures on algebraic varieties.
LaTeX 36 pages, no figures

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Algebraic Geometry, K-Theory and Homology

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http://salesiana.dossiersoluciones.com/handle/123456789/229162

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/0905.0096
 http://arxiv.org/abs/0905.0096

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arXiv