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

2006/12/13 by Severa, Pavol
#Differential Geometry (math.DG) #FOS: Mathematics

paper · doi:10.48550/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.

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