The bar derived category of a curved dg algebra

Abstract

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.

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

References in corpus (3)

• Relative formality theorem and quantisation of coisotropic submanifolds
• Nonhomogeneous quadratic duality and curvature
• A note on Q-algebra and quantization

Cited by in corpus (1)

• Lifting and restricting recollement data