XXVI Workshop on Geometric Methods in Physics 1-7.07.2007

Pavol Severa


L-infinity algebras as first approximations


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". I'll describe this generalization, together with its higher-order extensions.