The derived Maurer–Cartan locus
Ezra Getzler
Northwestern University, Evanston, USA
![The derived Maurer–Cartan locus cover](/_next/image?url=https%3A%2F%2Fcontent.ems.press%2Fassets%2Fpublic%2Fimages%2Fserial-issues%2Fcover-lem-volume-62-issue-1.png&w=3840&q=90)
Abstract
The derived Maurer-Cartan locus is a functor from differential graded Lie algebras to cosimplicial schemes. If is a differential graded Lie algebra, let be the truncation of in positive degrees . We prove that the differential graded algebra of functions on the cosimplicial scheme is quasi-isomorphic to the Chevalley-Eilenberg complex of .
Cite this article
Ezra Getzler, The derived Maurer–Cartan locus. Enseign. Math. 62 (2016), no. 1/2, pp. 261–284
DOI 10.4171/LEM/62-1/2-14