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Cocommutative algebras: homotopy theory and Koszul duality

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<mark>Journal publication date</mark>11/2016
<mark>Journal</mark>Homology, Homotopy and Applications
Issue number2
Number of pages34
Pages (from-to)303-336
Publication statusPublished
Original languageEnglish


We extend a construction of Hinich to obtain a closed model category structure on all differential graded cocommutative coalgebras over an algebraically closed field of characteristic zero. We further show that the Koszul duality between commutative and Lie algebras extends to a Quillen equivalence between cocommutative coalgebras and formal coproducts of curved Lie algebras.