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DG quotients of DG categories

Vladimir Drinfeld
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Abstract

Keller introduced a notion of quotient of a differential graded category modulo a full differential graded subcategory which agrees with Verdier's notion of quotient of a triangulated category modulo a triangulated subcategory. This work is an attempt to further develop his theory. More than a half of the text is devoted to an overview of "well known" definitions and results. As a result, the e-print is essentially self-contained.

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Vladimir Drinfeld. 2008-02-17. DG quotients of DG categories. https://arxiv.org/abs/math/0210114

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