Deriving DG categories

Bernhard Keller

Displaying similar documents to “Deriving DG categories”

The connection between the $K$ -theory localization theorem of Thomason, Trobaugh and Yao and the smashing subcategories of Bousfield and Ravenel

Amnon Neeman (1992)

Annales scientifiques de l'École Normale Supérieure

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On the structure of Calabi-Yau categories with a cluster tilting subcategory.

Tabuada, Gonçalo (2007)

Documenta Mathematica

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Moduli of objects in dg-categories

Bertrand Toën, Michel Vaquié (2007)

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Graded monoidal categories

A. Fröhlich, C. T. C. Wall (1974)

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Cluster categories for algebras of global dimension 2 and quivers with potential

Claire Amiot (2009)

Annales de l’institut Fourier

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Let $k$ be a field and $A$ a finite-dimensional $k$ -algebra of global dimension $\leq 2$ . We construct a triangulated category $𝒞_{A}$ associated to $A$ which, if $A$ is hereditary, is triangle equivalent to the cluster category of $A$ . When $𝒞_{A}$ is Hom-finite, we prove that it is 2-CY and endowed with a canonical cluster-tilting object. This new class of categories contains some of the stable categories of modules over a preprojective algebra studied by Geiss-Leclerc-Schröer and by Buan-Iyama-Reiten-Scott. Our...

Koszul duality of translation- and Zuckerman functors.

Ryom-Hansen, Steen (2004)

Journal of Lie Theory

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Acyclicity versus total acyclicity for complexes over noetherian rings.

Iyengar, Srikanth, Krause, Henning (2006)

Documenta Mathematica

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A classification of degree $n$ functors, II

B. Johnson, R. McCarthy (2003)

Cahiers de Topologie et Géométrie Différentielle Catégoriques

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