Cocommutative coalgebras: homotopy theory and Koszul duality

Algebraically closed field Duality (order theory)
DOI: 10.4310/hha.2016.v18.n2.a17 Publication Date: 2016-11-09T18:52:37Z
ABSTRACT
We extend a construction of Hinich to obtain closed model category structure on all differential graded cocommutative coalgebras over an algebraically field characteristic zero.We further show that the Koszul duality between commutative and Lie algebras extends Quillen equivalence formal coproducts curved algebras.
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