DG-category and simplicial bar complex

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dc.creatorTerasoma, Tomohide
dc.date2009-05-01
dc.date.accessioned2026-07-07T13:11:01Z
dc.date.available2026-07-07T13:11:01Z
dc.descriptionIn 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.
dc.descriptionLaTeX 36 pages, no figures
dc.identifierhttps://arxiv.org/abs/0905.0096
dc.identifierhttp://arxiv.org/abs/0905.0096
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/229162
dc.subjectAlgebraic Geometry
dc.subjectK-Theory and Homology
dc.titleDG-category and simplicial bar complex
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