The bar derived category of a curved dg algebra
表示论
2010-10-05 v2 环与代数
摘要
Curved A-infinity algebras appear in nature as deformations of dg algebras. We develop the basic theory of curved A-infinity algebras and, in particular, curved dg algebras. We investigate their link with a suitable class of dg coalgebras via the bar construction and produce Quillen model structures on their module categories. We define the analogue of the relative derived category for a curved dg algebra.
引用
@article{arxiv.math/0702449,
title = {The bar derived category of a curved dg algebra},
author = {Pedro Nicolas},
journal= {arXiv preprint arXiv:math/0702449},
year = {2010}
}
备注
38 pages, with figures, corrected typos. To appear in the Journal of Pure and Applied Algebra