On differential graded categories

2006/01/09 by Bernhard Keller, Keller, Bernhard · 13 citations
Mathematics · #16D90 #18E30 #Algebraic Geometry (math.AG) #FOS: Mathematics #K-Theory and Homology (math.KT) #math.AG #math.KT #msc:16D90 #msc:18E30

paper · pdf · doi:10.48550/arxiv.math/0601185

30 pages, correction at the end of 3.9, corrections and added references in 5.7

arxiv created 2006/06/19 · arxiv updated 2009/12/01

Abstract

Differential graded categories enhance our understanding of triangulated categories appearing in algebra and geometry. In this survey, we review their foundations and report on recent work by Drinfeld, Dugger-Shipley, ..., Toen and Toen-Vaquie.

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• Recollement for Differential Graded Algebras
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