• Corpus ID: 119132140

# Homological Algebra for Superalgebras of Differentiable Functions

@article{Carchedi2012HomologicalAF,
title={Homological Algebra for Superalgebras of Differentiable Functions},
author={David R. Carchedi and Dmitry Roytenberg},
journal={arXiv: Algebraic Geometry},
year={2012}
}
• Published 16 December 2012
• Mathematics
• arXiv: Algebraic Geometry
This is the second in a series of papers laying the foundations for a differential graded approach to derived differential geometry (and other geometries in characteristic zero). In this paper, we extend the classical notion of a dg-algebra to define, in particular, the notion of a differential graded algebra in the world of C-infinity rings. The opposite of the category of differential graded C-infinity algebras contains the category of differential graded manifolds as a full subcategory. More…

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This is the first in a series of papers laying the foundations for a differential graded approach to derived differential geometry (and other geometries in characteristic zero). In this paper, we

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