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arXiv · 1707.03465

Algebraic operads up to homotopy

Brice Le Grignou
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Abstract

This paper deals with the homotopy theory of differential graded operads. We endow the Koszul dual category of curved conilpotent cooperads, where the notion of quasi-isomorphism barely makes sense, with a model category structure Quillen equivalent to that of operads. This allows us to describe the homotopy properties of differential graded operads in a simpler and richer way, using obstruction methods.

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Brice Le Grignou. 2017-07-11. Algebraic operads up to homotopy. https://arxiv.org/abs/1707.03465

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