The derived Maurer–Cartan locus

Research output: Contribution to journalArticle

Abstract

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
Volume62
Issue number1/2
DOIs
StatePublished - 2016

Fingerprint Dive into the research topics of 'The derived Maurer–Cartan locus'. Together they form a unique fingerprint.

Cite this