The derived Maurer–Cartan locus

Research output: Contribution to journalArticle


The derived Maurer-Cartan locus is a functor MC from differential graded Lie algebras to cosimplicial schemes. If L is a differential graded Lie algebra, let L+ be the truncation of L in positive degrees i>0. We prove that the differential graded algebra of functions on the cosimplicial scheme MC(L) is quasi-isomorphic to the Chevalley-Eilenberg complex of L+.
Original languageEnglish (US)
Pages (from-to)261-284
Number of pages24
JournalL’Enseignement Mathématique
Issue number1/2
StatePublished - 2016

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