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The bar derived category of a curved dg algebra

Pedro Nicolas
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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.

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BibTeXRIS

Pedro Nicolas. 2007-02-15. The bar derived category of a curved dg algebra. https://arxiv.org/abs/math/0702449

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