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 language | English (US) |
|---|---|
| Pages (from-to) | 261-284 |
| Number of pages | 24 |
| Journal | L’Enseignement Mathématique |
| Volume | 62 |
| Issue number | 1/2 |
| DOIs | |
| State | Published - 2016 |