DG quotients of DG categories
Abstract
Description
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.
50 pages, Latex; an error in the proof of Lemma 13.5 is corrected
50 pages, Latex; an error in the proof of Lemma 13.5 is corrected