L_infinity algebras as 1-jets of simplicial manifolds (and a bit beyond)

2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/102327The 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 figuresDifferential GeometryL_infinity algebras as 1-jets of simplicial manifolds (and a bit beyond)text