DG quotients of DG categories
K-Theory and Homology
2008-02-17 v7 Algebraic Geometry
Algebraic Topology
Category Theory
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.
Cite
@article{arxiv.math/0210114,
title = {DG quotients of DG categories},
author = {Vladimir Drinfeld},
journal= {arXiv preprint arXiv:math/0210114},
year = {2008}
}
Comments
50 pages, Latex; an error in the proof of Lemma 13.5 is corrected