The bar derived category of a curved dg algebra

Details The bar derived category of a curved dg algebra The bar derived category of a curved dg algebra

2007-02-15

arxiv.org/abs/math/0702449v2

Journal of Pure and Applied Algebra 212 (2008) 2633-2659

Mathematics

Representation Theory

38 pages, with figures, corrected typos. To appear in the Journal of Pure and Applied Algebra

Scientific paper

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.

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