The derived Maurer–Cartan locus

  • Ezra Getzler

    Northwestern University, Evanston, USA
The derived Maurer–Cartan locus cover
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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