L_infinity algebras as 1-jets of simplicial manifolds (and a bit beyond)
arXiv:math/0612349
Abstract
The procedure "Lie group --> Lie algebra" has a generalization "simplicial manifold --> L_infinity algebra", or yet better, "presheaf on the category of surjective submersions --> L_infinity algebra". We describe this generalization, together with its higher-order extensions.
13 pages, 3 figures