Differential Graded Categories are k-linear Stable Infinity Categories
Algebraic Topology
2016-09-13 v2 Category Theory
Abstract
We describe a comparison between pretriangulated differential graded categories and certain stable infinity categories. Specifically, we use a model category structure on differential graded categories over k (a field of characteristic 0) where the weak equivalences are the Morita equivalences, and where the fibrant objects are in particular pretriangulated differential graded categories. We show the underlying infinity category of this model category is equivalent to the infinity category of k-linear stable infinity categories.
Cite
@article{arxiv.1308.2587,
title = {Differential Graded Categories are k-linear Stable Infinity Categories},
author = {Lee Cohn},
journal= {arXiv preprint arXiv:1308.2587},
year = {2016}
}
Comments
Characteristic 0 assumption has been removed. Main arguments are significantly revised. Several errors corrected. arXiv admin note: substantial text overlap with arXiv:1001.2282 by other authors