A construction of quotient A_infinity-categories
Category Theory
2008-02-15 v5 K-Theory and Homology
Quantum Algebra
Abstract
We construct an A_infinity-category D(C|B) from a given A_infinity-category C and its full subcategory B. The construction is similar to a particular case of Drinfeld's quotient of differential graded categories. We use D(C|B) to construct an A_infinity-functor of K-injective resolutions of a complex. The conventional derived category is obtained as the 0-th cohomology of the quotient of differential graded category of complexes over acyclic complexes.
Cite
@article{arxiv.math/0211037,
title = {A construction of quotient A_infinity-categories},
author = {Volodymyr Lyubashenko and Sergiy Ovsienko},
journal= {arXiv preprint arXiv:math/0211037},
year = {2008}
}
Comments
49 pages, LaTeX, uses Paul Taylor's diagrams.tex. Close to published version